Fine Regularity Of Solutions Of Elliptic Partial Differential Equations
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Fine Regularity Of Solutions Of Elliptic Partial Differential Equations
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Author : Jan Malý
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations written by Jan Malý and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations
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Author : Jan Maly
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-05-22
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations written by Jan Maly and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with MATHEMATICS categories.
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
Stable Solutions Of Elliptic Partial Differential Equations
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Author : Louis Dupaigne
language : en
Publisher: CRC Press
Release Date : 2011-03-15
Stable Solutions Of Elliptic Partial Differential Equations written by Louis Dupaigne and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-15 with Mathematics categories.
Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.
Elliptic Partial Differential Equations From An Elementary Viewpoint A Fresh Glance At The Classical Theory
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Author : Serena Dipierro
language : en
Publisher: World Scientific
Release Date : 2024-07-02
Elliptic Partial Differential Equations From An Elementary Viewpoint A Fresh Glance At The Classical Theory written by Serena Dipierro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-02 with Mathematics categories.
This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.
Symmetry For Elliptic Pdes
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Author : Alberto Farina
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Symmetry For Elliptic Pdes written by Alberto Farina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Contains contributions from the INdAM School on Symmetry for Elliptic PDEs, which marked ""30 years after a conjecture of De Giorgi, and related problems"" and provided an opportunity for experts to discuss the state of the art and open questions on the subject.
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane
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Author : Kari Astala
language : en
Publisher: Princeton University Press
Release Date : 2008-12-29
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane written by Kari Astala and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Stable Solutions Of Elliptic Partial Differential Equations
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Author : Louis Dupaigne
language : en
Publisher: CRC Press
Release Date : 2011-03-15
Stable Solutions Of Elliptic Partial Differential Equations written by Louis Dupaigne and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-15 with Mathematics categories.
Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.
Harmonic Analysis And Partial Differential Equations
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Author : Anatoly Golberg
language : en
Publisher: Springer Nature
Release Date : 2023-03-25
Harmonic Analysis And Partial Differential Equations written by Anatoly Golberg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-25 with Mathematics categories.
Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups
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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-11-21
Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups written by Armand Borel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.
It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.
The Classification Of The Finite Simple Groups Number 4
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Author : Daniel Gorenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
The Classification Of The Finite Simple Groups Number 4 written by Daniel Gorenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Finite simple groups categories.