Elliptic Systems In The Plane
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Elliptic Systems In The Plane
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Author : Wolfgang L. Wendland
language : en
Publisher: Pitman Publishing
Release Date : 1979
Elliptic Systems In The Plane written by Wolfgang L. Wendland and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Elliptic Systems In The Plane
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Author : Robert P. Gilbert
language : en
Publisher:
Release Date : 1976
Elliptic Systems In The Plane written by Robert P. Gilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Boundary value problems categories.
Boundary Value Problems For Elliptic Systems
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Author : J. T. Wloka
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-28
Boundary Value Problems For Elliptic Systems written by J. T. Wloka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-28 with Mathematics categories.
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
First Order Elliptic Systems A Function Theoretic Approach
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Author : Buchanan
language : en
Publisher: Academic Press
Release Date : 1983-07-19
First Order Elliptic Systems A Function Theoretic Approach written by Buchanan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-07-19 with Computers categories.
First Order Elliptic Systems: A Function Theoretic Approach
Elliptic Systems Of Phase Transition Type
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Author : Nicholas D. Alikakos
language : en
Publisher: Springer
Release Date : 2019-01-21
Elliptic Systems Of Phase Transition Type written by Nicholas D. Alikakos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-21 with Mathematics categories.
This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabré (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-Córdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include: • Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions. • Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves. • Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates. • Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane Pms 48
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Author : Kari Astala
language : en
Publisher: Princeton University Press
Release Date : 2009
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane Pms 48 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 2009 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.
Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations
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Author : Valentin Nikolaevich Monakhov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983
Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations written by Valentin Nikolaevich Monakhov 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 1983 with Mathematics categories.
This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.
Second Order Systems Of Partial Differential Equations In The Plane
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Author : Luogeng Hua
language : en
Publisher: Pitman Publishing
Release Date : 1985
Second Order Systems Of Partial Differential Equations In The Plane written by Luogeng Hua and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Singular Partial Differential Equations
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Author : Abduhamid Dzhuraev
language : en
Publisher: CRC Press
Release Date : 1999-11-29
Singular Partial Differential Equations written by Abduhamid Dzhuraev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Science categories.
Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.
Some Classes Of Partial Differential Equations
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Author : Andreĭ Vasilʹevich Bit︠s︡adze
language : en
Publisher: CRC Press
Release Date : 1988
Some Classes Of Partial Differential Equations written by Andreĭ Vasilʹevich Bit︠s︡adze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
A systematic examination of classical and non-classical problems for linear partial differential equations and systems of elliptic, hyperbolic and mixed types. Among a number of difficult problems addressed are the Dirichlet and oblique derivative problems for non- uniformly elliptic equations and non-strongly elliptic systems and the Cauchy and Darloux problems for non-strongly hyperbolic systems and hyperbolic equations with parabolic degeneracy on the boundary. Written at a level suitable for undergraduate and graduate students and researchers. Individual price, $89. Annotation copyrighted by Book News, Inc., Portland, OR