21. 31-XX 31XX potential theory,. {For probabilistic potential theory, See 60J45}. 31-00General reference works (handbooks, dictionaries, bibliographies, etc. http://www.ma.hw.ac.uk/~chris/MR/31-XX.html

31-XX Potential theory, 31-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 31-01 Instructional exposition (textbooks, tutorial papers, etc.) 31-02 Research exposition (monographs, survey articles) 31-03 Historical (must be assigned at least one classification number from 01-XX 31-04 Explicit machine computation and programs (not the theory of computation or programming) 31-06 Proceedings, conferences, collections, etc. 31Axx Two-dimensional theory 31Bxx Higher-dimensional theory 31Cxx Other generalizations 31D05 Axiomatic potential theory Top level of Index

22. Prof A.F. Beardon University of Cambridge. Geometric function theory and hyperbolic geometry in general, but especially in relation to complex continued fractions, discrete Mobius groups and Riemann surfaces; dynamical systems and potential theory. http://www.dpmms.cam.ac.uk/site2002/People/beardon_af.html

Department of Pure Mathematics and Mathematical Statistics DPMMS People Prof A.F. Beardon Prof A.F. Beardon Title: Professor in Complex Analysis College: St Catharine's College Room: C1.13 Tel: +44 1223 337976 Research Interests: Geometric function theory and hyperbolic geometry in general, but especially in relation to complex continued fractions, discrete Mobius groups and Riemann surfaces. Also, dynamical systems and potential theory. Information provided by

23. General Potential Theory Of Arbitrary Wing Section General potential theory of arbitrary wing section Theodorsen, T Garrick, I E NACA Report 452 1934 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

24. PlanetMath: Potential Theory potential theory may be defined as the study of harmonic functions. The term ``potentialtheory arises from the fact that, in 19th century physics, http://planetmath.org/encyclopedia/PotentialTheory.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About potential theory (Topic) Definition and Comments Potential theory may be defined as the study of harmonic functions The term ``potential theory'' arises from the fact that, in 19th century physics, the fundamental forces of nature were believed to be derived from potentials which satisfied Laplace's equation . Hence, potential theory was the study of functions which could serve as potentials. Nowadays, we know that nature is more complicated the equations which describe forces are systems of non-linear partial differential equations such as the Einstein equations and the Yang-Mills equations and that the Laplace equation is only valid as a limiting case. Nevertheless, the term ``potential theory'' has remained as a convenient term for describing the study of functions which satisfy the Laplace equation.

25. Potential TheorySubroutines potential theory in Gravity and Magnetic Applications http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

26. 4th Summer School In Potential Theory http://www.renyi.hu/~revesz/sspt4/

27. Complex Potential Theory CPT is a relevant potential theory for the multidimensional complex analysis and deals with plurisubharmonic functions and maximal plurisubharmonic http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

28. Révész Szilárd Program of the Third School in potential theory. A Harmadik PotenciálelméletNyári Iskola Mo, 90, 1045, 1215, Szabó Sándor, Classical potential theory http://www.renyi.hu/~revesz/kecsprog.html

Program of the Third School in Potential Theory A Harmadik Potenciálelmélet Nyári Iskola programja Nap/Day Idõtart. Kezdés Vége Elõadó / Speaker Cím /Title Mo Révész Szilárd Harmonic functions Mo Szabó Sándor Classical potential theory Mo Toókos Ferenc Introduction to weighted potential theory on the plane I Mo Nagy Béla Introduction to weighted potential theory on the plane II Tue Major Péter Classical capacity and potential in physics and their connection to certain natural probabilistic notions I Tue David Benko On the logarithmic energy of a signed measure Tue Petz Dénes Logarithmic energy, random matrices and free probability Tue Toókos Ferenc Wiener's Theorem Tue Réffy Júlia On random matrices and Brown measure Tue Prause István Newton space and Sobolev spaces over a metric space We Major Péter Classical capacity and potential in physics and their connection to certain natural probabilitstic notions II-III We Norm Levenberg Introduction to pluripotential theory I We Prause István Newton space and Sobolev spaces over a metric space We Farkas Bálint Transfinite diameter, Chebyshev constant and capacity on the plane

29. Plastic-Potential Theory From The Granular Volcano Group The ultimate site for understanding granular flows, fluid dynamic, supercomputermodeling, grain features and behaviors in Physics, Volcanology and http://www.granular-volcano-group.org/plastic_potential_theory.html

Your browser does not support script The ultimate website for understanding granular flows A Review of Plastic-Frictional Theory Part. 2 Plastic Potential Theory You will find the basic facts about Plastic-Frictional Theories (Part. 2) - no details -. If you wanna know more just email me or feel free to ask in the Discussion Forum . I purposely erased all the bibliographical references and detailed equations to keep the text simple and easy to read. If you need an official reference for the content of this website, please, use: Dartevelle, S., Numerical and granulometric approaches to geophysical granular flows, Ph.D. thesis, Michigan Technological University, Department of Geological and Mining Engineering , Houghton, Michigan, July 2003. We have seen on the preceding sections: I. Introduction II. Stress space, Slip Planes, Mohr-Coulomb and von Mises stresses II.1. Mohr-Coulomb case: a 2D representation of stress (particular case) II.2. von Mises case: a 3D representation of stress (general case) On this page , you will find: III. Plastic Potential Theory

30. Tru Psi: Water Potential Primer This page has general information about Tru Psi and water potential theory. Water Potential is the potential energy of water per unit mass. http://www.decagon.com/tru_psi/water potential info.html

Introduction Specifications Friends of Tru Psi Accessories Water Potential Theory Water Potential Primer Water Potential References More Information On-line literature What is water potential, and why is it important? Water Potential is the potential energy of water per unit mass. Water content tells how much water is in a sample, and water potential tells you how available that water is. The total water potential of a sample is the sum of four component potentials: gravitational, matric, osmotic, and pressure. Gravitational potential depends on the position of the water in a gravitational field. Matric potential depends on the adsorptive forces binding water to a matrix. Osmotic potential depends on the concentration of dissolved substance in the water. Pressure potential depends on the hydrostatic or pneumatic pressure on the water. Depending on circumstances, some of these component potentials may be zero. Evaluate a soil sample. The pressure and gravitational potentials for a sample of soil are zero. Unless the sample is salty, the osmotic potential is also zero. Therefore, a water potential reading for that sample is measuring only matric potential. Measuring Water Potential The water potential of a solid or liquid sample can be measured through a series of relationships. The first is the relationship of the sample water potential reading to the vapor pressure in the air around the sample. The sample must be in an enclosed space. The sample and the water vapor in the air need time to come to vapor equilibrium. Then, the water potentials of the sample and the water vapor are equal. The relationship between vapor phase water potential (

31. MATHnetBASE: Mathematics Online Canonical Problems in Scattering and potential theory Part 1 Canonical The first volume, Canonical Structures in potential theory, develops the http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=982

32. Lectures By Jean-Pierre Demailly Several sets of lecture notes by JeanPierre Demailly, some in French, including potential theory in several complex variables , and Multiplier ideal sheaves and analytic methods in algebraic geometry in DVI or PostScript. http://www-fourier.ujf-grenoble.fr/~demailly/lectures.html

Lectures, large audience papers Jean-Pierre Demailly (last update: October 18, 2004) , Gaz. Math. (ps) Potential theory in several complex variables (dvi) , Gaz. Math. (ps) (dvi) , Gaz. Math. (dvi) Analytic techniques in algebraic geometry , Lectures given at the School on Complex Analysis held in Mahdia, Tunisia, July 14 - July 31, 2004 (dvi)

33. The Math Forum - Math Library - Potential Theory The Math Forum s Internet Math Library is a comprehensive catalog of Web sitesand Web pages relating to the study of mathematics. This page contains sites http://mathforum.org/library/topics/potential_theory/

Browse and Search the Library Home Math Topics Analysis : Potential Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Potential Theory - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic, that is, it satisfies the Laplace equation... Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) - that is, determining the force field which results from a particular arrangement of force sources. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Search for these keywords: Click only once for faster results: all keywords, in any order

34. About "Potential Theory" potential theory. _ Library Home FullTable of Contents Suggest a Link Library Help http://mathforum.org/library/view/7595.html

Potential Theory Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.math.niu.edu/~rusin/known-math/index/31-XX.html Author: Dave Rusin; The Mathematical Atlas Description: A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic, that is, it satisfies the Laplace equation... Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) - that is, determining the force field which results from a particular arrangement of force sources. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. Levels: College Languages: English Resource Types: Articles Math Topics: Potential Theory Home The Math Library Quick Reference ... Help http://mathforum.org/

35. IWPT 2004 International Workshop on potential theory in Matsue 2004 Third Announcement.IWPT2004 Matsue, August 23 28, 2004 Department of Mathematics, Shimane http://www.math.shimane-u.ac.jp/iwpt/

Japanese Announcements Contact First Second Third Updated on 2005-2-22 International Workshop on Potential Theory in Matsue 2004 Third Announcement Matsue, August 23 - 28, 2004 Department of Mathematics, Shimane University The International Workshop on Potential Theory (IWPT2004) is successfully organized by the Department of Mathematics of Shimane University in Matsue, August 23-28, 2004. The Organizing Committee is grateful to all institutions and individuals who have supported the workshop. We would like to express our sincere thanks to Professor Masatoshi Fukushima and Professor Jun Kigami who are willing to deliver plenary lectures as well as to support international participants. Professor Junjiro Noguchi kindly offers his grant to invite many participants. His grant is one of our main resources. Professor Minoru Murata, Professor Masaharu Nishio and Professor Takeo Ohsawa of the IWPT organizers also help international participants financially. Finally, we would like to acknowledge the supports by Shimane Prefecture

36. POTENTIAL THEORY SELECTED TOPICS Hiroaki Aikawa Matts Essen Uppsala September 21, 1994 Matts Essen potential theory SELECTED TOPICS potential theory 11 4.1. The maximum principle 13 4.2. ffpotentials 16 5. http://www.math.shimane-u.ac.jp/~haikawa/research/LNM

POTENTIAL THEORY: SELECTED TOPICS Hiroaki Aikawa Matts Essen Manuscript prepared with the collaboration of T. Lundh. Author addresses: Department of Mathematics, Shimane University, Matsue 690, Japan E-mail address: haikawa@shimane-u.ac.jp Department of Mathematics, Box 480, S-75106 Uppsala, Sweden E-mail address: matts@math.uu.se iv v During the academic years 1992-1994, there was a lot of activity on potential theory at the Department of Mathematics at Uppsala University. The main series of lectures were as follows: o A An introduction to potential theory and a survey of minimal thinness and rarefiedness. (M. Essen) o B Potential theory. (H. Aikawa) o C Analytic capacity. (V. Eiderman) o D Lectures on a paper of L.-I. Hedberg [24]. (M. Essen) o E Harmonic measures on fractals (A. Volberg) These lecture notes contain the lecture series A,B and references for C. The ectures will appear as department report UUDM 1994:32: Zoltan Balogh, Irina Popovici and Alexander Volberg, Conformally maximal polynomial-like dynamics and invariant harmonic measure (to appear, Ergodic Theory and Dynamical Systems). H. Aikawa spent the Spring semester 1993 in Uppsala. V. Eiderman spent the Spring semesters 1993 and 1994 here. A. Volberg was in Uppsala during May 1994. In addition to giving excellent series of lectures, our visitors were also very active participants in the mathematical life of the department. Uppsala September 21, 1994 Matts Essen POTENTIAL THEORY: SELECTED TOPICS Contents Part I by M. Essen 1 1. Preface 3 2. Introduction 4 2.1. Analytic sets 4 2.2. Capacity 4 2.3. Hausdorff measures 5 2.4. Is mh a capacity? 9 3. The Physical background of Potential theory 10 3.1. Electrostatics in space 10 4. Potential theory 11 4.1. The maximum principle 13 4.2. ff-potentials 16 5. Capacity 16 5.1. Equilibrium distributions 17 5.2. Three extremal problems 21 5.3. Every analytic set is capacitable 24 6. Hausdorff measures and capacities 29 6.1. Coverings 30 6.2. Cantor sets 32 6.3. A Cantor type construction 34 7. Two Extremal Problems 36 7.1. The Classical Case 38 8. M. Riesz kernels 39 8.1. Potentials 40 8.2. Properties of Uff, where = F . 45 8.3. The equilibrium measure 46 8.4. Properties of Cff(.) 47 8.5. Potentials of measures in the whole space 49 8.6. The Green potential 53 8.7. Strong Subadditivity 54 8.8. Metric properties of capacity 57 8.9. The support of the equilibrium measures 57 8.10. Logarithmic capacity 59 8.11.Polar sets 60 8.12. A classical connection 61 8.13.Another definition of capacity 61 9. Reduced functions 61 10. Green energy in a Half-space 65 10.1.Properties of the Green energy fl 66 10.2.Ordinary thinness 67 11. Minimal thinness 68 11.1.Minimal thinness, Green potentials and Poisson integrals 68 11.2.A criterion of Wiener type for minimal thinness 71 12. Rarefiedness 73 13. A criterion of Wiener type for rarefiedness 74 14. Singular integrals and potential theory 75 15. Minimal thinness, rarefiedness and ordinary capacity 81 16. Quasiadditivity of capacity 88 17. On an estimate of Carleson 90 1. Books on potential theory: a short list 93 1.1. Classical potential theory 93 1.2. Potential theory and function theory in the plane 93 1.3. Abstract potential theory 93 1.4. Nonlinear potential theory 93 1.5. Potential theory and probability 93 1.6. Pluripotential theory 94 Bibliography 95 Index 97 Analytic capacity (references) by V. Eiderman 99 Part II by H. Aikawa 101 1. Introduction 103 2. Semicontinuous functions 105 2.1. Definition and elementary properties 105 2.2. Regularizations 106 2.3. Approximation 106 2.4. Vague convergence 107 3. Lp capacity theory 108 3.1. Preliminaries 108 3.2. Definition and elementary properties 109 3.3. Convergence properties 110 3.4. Capacitary distributions 112 3.5. Dual capacity 114 3.6. Duality 115 3.7. Relationship between capacitary distributions 118 3.8. Capacitary measures and capacitary potentials 120 4. Capacity of balls 122 4.1. Introduction 122 4.2. Preliminaries 124 4.3. Kerman-Sawyer inequality 126 4.4. Capacity of balls 129 4.5. Metric Property of Capacity 130 5. Capacity under a Lipschitz mapping 132 5.1. Introduction 132 5.2. Proof of Theorem 5.1.1 133 5.3. Proof of Theorem 5.1.2 136 6. Capacity strong type inequality 137 6.1. Weak maximum principle 137 6.2. Capacity strong type inequality 140 6.3. Lemmas 140 6.4. Proof of Theorem 6.2.1 142 7. Quasiadditivity of capacity 144 7.1. Introduction 144 7.2. How do we get a comparable measure? 149 7.3. Green energy 152 7.4. Application 155 8. Fine limit approach to the Nagel-Stein boundary limit theorem 158 8.1. Introduction 158 8.2. Boundary behavior of singular harmonic functions 162 8.3. Proof of Theorem 8.1.1 165 8.4. Sharpness of Theorem 8.1.1 and Theorem 8.2.1 167 8.5. Necessity of an approach region 169 8.6. Further results 170 9. Integrability of superharmonic functions 171 9.1. Integrability for smooth domains 171 9.2. Integrability for Lipschitz domains 172 9.3. Integrability for nasty domains 174 9.4. Sharp integrability for plane domains 175 9.5. Sharp integrability for Lipschitz domains 175 9.6. Lower estimate of the gradient of the Green function 180 10. Appendix: Choquet's capacitability theorem 182 10.1.Analytic sets are capacitable 182 10.2.Borel sets are analytic 183 11. Appendix: Minimal fine limit theorem 184 11.1.Introduction 184 11.2.Balayage (Reduced function) 185 11.3.Minimal thinness 187 11.4.PWBh solution 190 11.5.Minimal fine boundary limit theorem 193 Bibliography 195 Index 198

37. Potential Theory on potential theory. Has a link to Hiraki Aikawa s Home Page Contains informationabout his forthcoming book potential theory, the Dirichlet Problem, http://www.reference.com/Dir/Science/Math/Potential_Theory/

Dictionary Thesaurus Encyclopedia Web Home Premium: Sign up Login YOUR AD HERE Dictionary ... Encyclopedia - Web Directory Web Directory Top Science Math / Potential Theory Software Department of Mathematics, Shimane University Useful links to seminars, conferences and documents (TeX, DVI etc.) on potential theory. Has a link to Hiraki Aikawa's Home Page L.L.Helms homepage Author of 'Introduction to Potential Theory'. Contains information about his forthcoming book 'Potential Theory, the Dirichlet Problem, and the Other Problem'. Prof. Armitage - Publications Lists papers published by Prof. D. H. Armitage of Queens's University (Belfast), mainly concerning harmonic and subharmonic functions. Potential Theory Karlin's page, which is a good place to find out who is doing work in potential theory. Northern Illinois University - Mathematical Atlas Gives a brief description of potential theory with some indications of textbooks/tutorials and links to other web resources. Summer research semester on complex potential theory Announcement of seminars on 'Complex Potential Theory and its Applications' to be held in Feza Gursey Institute, Istanbul, Turkey. Help build the largest human-edited directory on the web.

38. Potential Theory -- From Eric Weisstein's Encyclopedia Of Scientific Books Blakely, Richard J. potential theory in Gravity and Magnetic potential theoryand its Applications to Basic Problems of Mathematical Physics. http://www.ericweisstein.com/encyclopedias/books/PotentialTheory.html

Potential Theory see also Potential Theory Axler, Sheldon; Bourdon, Paul; and Ramey, Wade. Harmonic Function Theory. New York: Springer-Verlag, 1992. $44.95. Blakely, Richard J. Potential Theory in Gravity and Magnetic Applications. Cambridge, England: Cambridge University Press, 1995. 441 p. $59.95. Potential Theory and its Applications to Basic Problems of Mathematical Physics. New York: Ungar, 1968. 338 p. Kellogg, Oliver Dimon. Foundations of Potential Theory. New York: Dover, 1953. $10. MacMillan, William Duncan. The Theory of the Potential. New York: Dover, 1958. 384 p. Sternberg, Wolfgang and Smith, Turner Linn. The Theory of Potential and Spherical Harmonics, 2nd ed. Toronto: University of Toronto Press, 1946. Tsuji, M. Potential Theory in Modern Function Theory. Tokyo: Maruzan, 1959. 590 p. $?. Wermer, John. Potential Theory, 2nd ed. Berlin: Springer-Verlag, 1981. 165 p. $?. Eric W. Weisstein http://www.ericweisstein.com/encyclopedias/books/PotentialTheory.html

39. Potential Theory Workgroup potential theory Workgroup. potential theory Workgroup. Lucian Beznea Valentin Grecea Lucretiu Stoica. IMAR http://www.imar.ro/prez/prez_teorpot.html

Potential Theory Workgroup Lucian Beznea Valentin Grecea Lucretiu Stoica IMAR

40. Summer Research Semester On Complex Potential Theory And Its Applications CPT is a relevant potential theory for the multidimensional complex analysis A. Aytuna (METU, Turkey) Introduction to the classical potential theory in http://www.math.metu.edu.tr/~aydin/CPT.html

Summer Research Semester on Complex Potential Theory and its Applications TÜBÝ TAK-Boðaziçi University Feza Gürsey Institute P.O. Box 6, 81220 Çengelköy, Ýstanbul Feza Gürsey Institute shall host a research-teaching semester (July 5 – August 6 and August 16 –21 1999) on Complex Potential Theory (CPT) and its applications There will be a workshop in Edirne (Linear Topological Spaces and Complex Analysis III ) August 9 – August 13 ,emphasizing , mainly, the connection between Complex Analysis and Functional Analysis. 1.Purpose and Nature CPT is a relevant potential theory for the multidimensional complex analysis that deals with plurisubharmonic functions and maximal plurisubharmonic functions; it is strongly connected with the study of the complex Monge-Ampère equation. CPT is an active area of research in Mathematics with applications in Approximation and Interpolation Theory, Partial Differential Equations, Complex Dynamical Systems, Differential Geometry, Number Theory and so on. Our aim, during the semester, is to impart the main ideas of CPT to advanced graduate students and other interested mathematicians through a series of lectures by leading researchers in the field as well as to proceed scientific discussions of the advanced results and some open problems in CPT. 2.Program

Page 2     21-40 of 106    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20