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Introduction to Partial Differential Equations

Introduction to Partial Differential Equations - 2nd edition

Introduction to Partial Differential Equations - 2nd edition

ISBN13: 9780691043616

ISBN10: 0691043612

Introduction to Partial Differential Equations by Gerald B. Folland - ISBN 9780691043616
Edition: 2ND 96
Copyright: 1996
Publisher: Princeton University Press
Published: 1996
International: No
Introduction to Partial Differential Equations by Gerald B. Folland - ISBN 9780691043616

ISBN13: 9780691043616

ISBN10: 0691043612

Edition: 2ND 96

Summary

The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: firstorder equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these longstudied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.

Author Bio

Folland, Gerald B. : University of Washington

Gerald B. Folland is Professor of Mathematics at the University of Washington. He is the author of a number of books, including Real Analysis, Fourier Analysis and Its Applications, and Harmonic Analysis in Phase Space (Princeton).

Table of Contents

Table of Contents

Local Existence Theory
The Laplace Operator
Layer Potentials
The Heat Operator
The Wave Operator
The L2 Theory of Derivatives
Elliptic Boundary Value Problems
Pseudodifferential Operators

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