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Edition: 2ND 96

Copyright: 1996

Publisher: Princeton University Press

Published: 1996

International: No

Copyright: 1996

Publisher: Princeton University Press

Published: 1996

International: No

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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.

**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).

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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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

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

Publisher Info

Publisher: Princeton University Press

Published: 1996

International: No

Published: 1996

International: No

**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).

The Laplace Operator

Layer Potentials

The Heat Operator

The Wave Operator

The L2 Theory of Derivatives

Elliptic Boundary Value Problems

Pseudodifferential Operators