Potential Theory Surveys And Problems PDF Download
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Author | : Josef Kral |
Publisher | : Springer |
Total Pages | : 276 |
Release | : 2007-02-08 |
Genre | : Mathematics |
ISBN | : 3540459529 |
Download Potential Theory, Surveys and Problems Book in PDF, ePub and Kindle
The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.
Author | : Dr Josef Kral |
Publisher | : Springer |
Total Pages | : 290 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662184936 |
Download Potential Theory, Surveys and Problems Book in PDF, ePub and Kindle
The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.
Author | : J. L. Doob |
Publisher | : Springer Science & Business Media |
Total Pages | : 865 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461252083 |
Download Classical Potential Theory and Its Probabilistic Counterpart Book in PDF, ePub and Kindle
Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is clear that certain concepts in potential theory correspond closely to concepts in probability theory, specifically to concepts in martingale theory. For example, superharmonic functions correspond to supermartingales. More specifically: the Fatou type boundary limit theorems in potential theory correspond to supermartingale convergence theorems; the limit properties of monotone sequences of superharmonic functions correspond surprisingly closely to limit properties of monotone sequences of super martingales; certain positive superharmonic functions [supermartingales] are called "potentials," have associated measures in their respective theories and are subject to domination principles (inequalities) involving the supports of those measures; in each theory there is a reduction operation whose properties are the same in the two theories and these reductions induce sweeping (balayage) of the measures associated with potentials, and so on.
Author | : Josef Kral |
Publisher | : Springer Science & Business Media |
Total Pages | : 352 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461309816 |
Download Potential Theory Book in PDF, ePub and Kindle
Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.
Author | : S.S. Vinogradov |
Publisher | : CRC Press |
Total Pages | : 393 |
Release | : 2001-05-30 |
Genre | : Mathematics |
ISBN | : 0849387078 |
Download Canonical Problems in Scattering and Potential Theory Part 1 Book in PDF, ePub and Kindle
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers
Author | : Josef Kral |
Publisher | : Walter de Gruyter |
Total Pages | : 513 |
Release | : 2011-10-13 |
Genre | : Mathematics |
ISBN | : 3110818574 |
Download Potential Theory - ICPT 94 Book in PDF, ePub and Kindle
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author | : |
Publisher | : |
Total Pages | : 503 |
Release | : 2001 |
Genre | : Potential theory (Mathematics) |
ISBN | : |
Download Canonical Problems in Scattering and Potential Theory Book in PDF, ePub and Kindle
Author | : Masanori Kishi |
Publisher | : Walter de Gruyter |
Total Pages | : 417 |
Release | : 2011-05-02 |
Genre | : Mathematics |
ISBN | : 3110859068 |
Download Potential Theory Book in PDF, ePub and Kindle
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author | : Juha Heinonen |
Publisher | : Courier Dover Publications |
Total Pages | : 417 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 0486830462 |
Download Nonlinear Potential Theory of Degenerate Elliptic Equations Book in PDF, ePub and Kindle
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
Author | : John Wermer |
Publisher | : Springer Science & Business Media |
Total Pages | : 156 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 366212727X |
Download Potential Theory Book in PDF, ePub and Kindle
Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~.