Introduction to Partial Differential Equations. Second Edition / Edition 2

Introduction to Partial Differential Equations. Second Edition / Edition 2

by Gerald Folland
Pub. Date:
Princeton University Press


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Introduction to Partial Differential Equations. Second Edition / Edition 2

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: first-order 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 long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.

Product Details

ISBN-13: 9780691043616
Publisher: Princeton University Press
Publication date: 10/15/1995
Series: Mathematical Notes Series
Edition description: Second
Pages: 352
Product dimensions: 6.00(w) x 9.00(h) x 1.08(d)

About the Author

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

  • 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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