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Author : Pasi Lehtola
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (318 download)
Download or read book An Axiomatic Approach to Non-linear Potential Theory written by Pasi Lehtola and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Juha Heinonen
Publisher : Courier Dover Publications
ISBN 13 : 0486830462
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)
Download or read book Nonlinear Potential Theory of Degenerate Elliptic Equations written by Juha Heinonen and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Juha Heinonen
Publisher : Courier Dover Publications
ISBN 13 : 048682425X
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)
Download or read book Nonlinear Potential Theory of Degenerate Elliptic Equations written by Juha Heinonen and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.
Author : Bengt O. Turesson
Publisher : Springer
ISBN 13 : 3540451684
Total Pages : 188 pages
Book Rating : 4.5/5 (44 download)
Download or read book Nonlinear Potential Theory and Weighted Sobolev Spaces written by Bengt O. Turesson and published by Springer. This book was released on 2007-05-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems.
Author : Masanori Kishi
Publisher : Walter de Gruyter
ISBN 13 : 3110859068
Total Pages : 417 pages
Book Rating : 4.1/5 (18 download)
Download or read book Potential Theory written by Masanori Kishi and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Josef Kral
Publisher : Springer
ISBN 13 : 3540459529
Total Pages : 276 pages
Book Rating : 4.5/5 (44 download)
Download or read book Potential Theory, Surveys and Problems written by Josef Kral and published by Springer. This book was released on 2007-02-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ilkka Holopainen
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (318 download)
Download or read book Nonlinear Potential Theory and Quasiregular Mappings on Riemannian Manifolds written by Ilkka Holopainen and published by . This book was released on 1990 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Josef Kral
Publisher : Springer Science & Business Media
ISBN 13 : 1461309816
Total Pages : 352 pages
Book Rating : 4.4/5 (613 download)
Download or read book Potential Theory written by Josef Kral and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : B. Fuglede
Publisher : Springer Science & Business Media
ISBN 13 : 9401124361
Total Pages : 207 pages
Book Rating : 4.4/5 (11 download)
Download or read book Approximation by Solutions of Partial Differential Equations written by B. Fuglede and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the proceedings of the NATO Advanced Research Workshop on Approximation by Solutions of Partial Differential Equations, Quadrature Formulae, and Related Topics, which was held at Hanstholm, Denmark. These proceedings include the main invited talks and contributed papers given during the workshop. The aim of these lectures was to present a selection of results of the latest research in the field. In addition to covering topics in approximation by solutions of partial differential equations and quadrature formulae, this volume is also concerned with related areas, such as Gaussian quadratures, the Pompelu problem, rational approximation to the Fresnel integral, boundary correspondence of univalent harmonic mappings, the application of the Hilbert transform in two dimensional aerodynamics, finely open sets in the limit set of a finitely generated Kleinian group, scattering theory, harmonic and maximal measures for rational functions and the solution of the classical Dirichlet problem. In addition, this volume includes some problems in potential theory which were presented in the Problem Session at Hanstholm.
Author :
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annales written by and published by . This book was released on 1992 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Josef Kral
Publisher : Walter de Gruyter
ISBN 13 : 3110818574
Total Pages : 513 pages
Book Rating : 4.1/5 (18 download)
Download or read book Potential Theory - ICPT 94 written by Josef Kral and published by Walter de Gruyter. This book was released on 2011-10-13 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : F. van Gool
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (897 download)
Download or read book Non-linear Potential Theory written by F. van Gool and published by . This book was released on 1990 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (45 download)
Download or read book Annales Academiae Scientiarum Fennicae written by and published by . This book was released on 1992 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Maz'ya
Publisher : Springer Science & Business Media
ISBN 13 : 3642155642
Total Pages : 882 pages
Book Rating : 4.6/5 (421 download)
Download or read book Sobolev Spaces written by Vladimir Maz'ya and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.
Author : Indiana University. Department of Mathematics
Publisher :
ISBN 13 :
Total Pages : 1102 pages
Book Rating : 4.3/5 (91 download)
Download or read book IUMJ. written by Indiana University. Department of Mathematics and published by . This book was released on 1989 with total page 1102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jitendra R. Raol
Publisher : CRC Press
ISBN 13 : 1498745180
Total Pages : 581 pages
Book Rating : 4.4/5 (987 download)
Download or read book Nonlinear Filtering written by Jitendra R. Raol and published by CRC Press. This book was released on 2017-07-12 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Filtering covers linear and nonlinear filtering in a comprehensive manner, with appropriate theoretic and practical development. Aspects of modeling, estimation, recursive filtering, linear filtering, and nonlinear filtering are presented with appropriate and sufficient mathematics. A modeling-control-system approach is used when applicable, and detailed practical applications are presented to elucidate the analysis and filtering concepts. MATLAB routines are included, and examples from a wide range of engineering applications - including aerospace, automated manufacturing, robotics, and advanced control systems - are referenced throughout the text.
Author : Ilpo Laine
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.3/5 (91 download)
Download or read book Summer School in Potential Theory, Joensuu, 1990 written by Ilpo Laine and published by . This book was released on 1992 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
