Uniqueness Theorem for a Class of Quasi-linear Partial Differential Equations PDF Download

Author: Maharaj Krishen Kaul
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 34

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Author: Dorothy L. Bernstein
Publisher: Princeton University Press
ISBN: 0691095809
Category : Mathematics
Languages : en
Pages : 244

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Book Description
A classic treatment of existence theorems in partial differential equations from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Author: Treven Parker Wall
Publisher:
ISBN:
Category :
Languages : en
Pages : 106

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Book Description

Author: Lipman Bers
Publisher: Princeton University Press
ISBN: 1400882184
Category : Mathematics
Languages : en
Pages : 257

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Book Description
The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.

Author: Kari Astala
Publisher: Princeton University Press
ISBN: 0691137773
Category : Mathematics
Languages : en
Pages : 695

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Book Description
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.

Author: Emmanuele DiBenedetto
Publisher: Springer Nature
ISBN: 3031466187
Category : Differential equations, Partial
Languages : en
Pages : 768

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Book Description
This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The “Problems and Complements” sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students. Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.

Author: Guangchang Dong
Publisher: American Mathematical Soc.
ISBN: 9780821845547
Category : Mathematics
Languages : en
Pages : 272

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Book Description
Addresses a class of equations central to many areas of mathematics and its applications. This book addresses a general approach that consists of the following: choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution.

Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 0817645527
Category : Mathematics
Languages : en
Pages : 404

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Book Description
This book offers a self-contained introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing perspective on nonlinear equations. The treatment is mathematically rigorous with a generally theoretical layout, with indications to some of the physical origins of PDEs. The Second Edition is rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition offers many examples, problems and solutions to enhance understanding. Requiring only advanced differential calculus and some basic Lp theory, the book will appeal to advanced undergraduates and graduate students, and to applied mathematicians and mathematical physicists.

Author: Arina A. Arkhipova
Publisher: American Mathematical Soc.
ISBN: 0821849972
Category : Mathematics
Languages : en
Pages : 268

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Book Description
"St. Petersburg PDE seminar, special session dedicated to N.N. Uraltseva's [75th] anniversary, June 2009"--P. [vi].

Author: Emmanuele DiBenedetto
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 438

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Book Description
An elementary introduction, assuming previous coursework in advanced differential calculus and basic Lp theory. The basic equations treated in the book are linear but are approached from a nonlinear perspective. Covers Green's theorem, quasi-linear equations and the Cauchy-Kowalewski theorem, the Laplace equation, double layer potential and boundary value problems, integral equations and Eigenvalue problems, the heat and wave equations, equations of the first order, and conservation laws. Paper edition (unseen), $29.95. Annotation copyright by Book News, Inc., Portland, OR