Variational Techniques for Elliptic Partial Differential Equations: Theoretical

$120.33

Variational Techniques for Elliptic Partial Differential Equations by Thomas S. Brown, Matthew E. Hassell, Francisco J. Sayas

Estimated delivery 3-12 business days

Format Paperback

Condition Brand New

Description This book, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations.

Publisher Description

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations. Beginning with the necessary definitions and theorems from distribution theory, the book gradually builds the functional analytic framework for studying elliptic PDE using variational formulations. Rather than introducing all of the prerequisites in the first chapters, it is the introduction of new problems which motivates the development of the associated analytical tools. In this way the student who is encountering this material for the first time will be aware of exactly what theory is needed, and for which

A detailed and rigorous development of the theory of Sobolev spaces on Lipschitz domains, including the trace operator and the normal component of vector fields

An integration of functional analysis concepts involving Hilbert spaces and the problems which can be solved with these concepts, rather than separating the two

Introduction to the analytical tools needed for physical problems of interest like time-harmonic waves, Stokes and Darcy flow, surface differential equations, Maxwell cavity problems, etc.

A variety of problems which serve to reinforce and expand upon the material in each chapter, including applications in fluid and solid mechanics

Details

ISBN 0367656647
ISBN-13 9780367656645
Title Variational Techniques for Elliptic Partial Differential Equations
Author Thomas S. Brown, Matthew E. Hassell, Francisco J. Sayas
Format Paperback
Year 2020
Pages 492
Publisher Taylor & Francis Ltd

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