Partial Differential Equations Qualitative Studies Of Linear Equations
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Partial Differential Equations Ii
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Author : Michael E. Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-02
Partial Differential Equations Ii written by Michael E. Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Mathematics categories.
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Partial Differential Equations Qualitative Studies Of Linear Equations
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Author : Michael Eugene Taylor
language : en
Publisher:
Release Date : 1996
Partial Differential Equations Qualitative Studies Of Linear Equations written by Michael Eugene Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Differential equations, Partial categories.
Partial Differential Equations
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Author : Michael E. Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-06-25
Partial Differential Equations written by Michael E. Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-25 with Mathematics categories.
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
Partial Differential Equations
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Author : Michael E. Taylor
language : en
Publisher:
Release Date : 1996
Partial Differential Equations written by Michael E. Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Partial Differential Equations Qualitative Studies Of Linear Equations
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Author : Michael E. Taylor
language : en
Publisher:
Release Date : 2023
Partial Differential Equations Qualitative Studies Of Linear Equations written by Michael E. Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Differential equations, Linear categories.
Partial Differential Equations
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Author : Michael Eugene Taylor (matematyk))
language : en
Publisher:
Release Date : 1997
Partial Differential Equations written by Michael Eugene Taylor (matematyk)) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
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Author : Michael E. Taylor
language : en
Publisher:
Release Date : 2011
written by Michael E. Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Differential equations, Partial categories.
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. --Source other than the Library of Congress.
Partial Differential Equations Ii
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Author : Michael Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Partial Differential Equations Ii written by Michael Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds, it has developed into a body of material that interacts with many branches of math ematics, such as differential geometry, complex analysis, and harmonic analysis, as weil as a ubiquitous factor in the description and elucidation of problems in mathematical physics. This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory grad uate mathematics courses in American universities: elementary real and complex analysis, differential geometry, and measure theory. Chapter 1 provides background material on the theory of ordinary differential equations (ODE). This includes both very basic material-on topics such as the existence and uniqueness of solutions to ODE and explicit solutions to equations with constant coefficients and relations to linear algebra-and more sophisticated results-on flows generated by vector fields, connections with differential geom etry, the calculus of differential forms, stationary action principles in mechanics, and their relation to Hamiltonian systems. We discuss equations of relativistic motion as weIl as equations of c1assical Newtonian mechanics. There are also applications to topological results, such as degree theory, the Brouwer fixed-point theorem, and the Jordan-Brouwer separation theorem. In this chapter we also treat scalar first-order PDE, via Hamilton-Jacobi theory.
Lectures On Linear Partial Differential Equations
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Author : Grigoriĭ Ilʹich Eskin
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Lectures On Linear Partial Differential Equations written by Grigoriĭ Ilʹich Eskin 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 2011 with Mathematics categories.
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Partial Differential Equations Iii
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Author : Michael E. Taylor
language : en
Publisher: Springer Nature
Release Date : 2023-12-06
Partial Differential Equations Iii written by Michael E. Taylor and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-06 with Mathematics categories.
The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (Peter Lax, SIAM review, June 1998)