## Introduction to Partial Differential Equations |

The second edition of 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. "The first edition of Folland's text on PDEs used to be my favorite source for a course on DPEs. The new edition includes many more exercises and offers a new chapter on pseudodifferential operators. .. . . This text book is a pleasant compromise between the modern abstract theory and the concrete classical examples and applications." - 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
- Hardy Spaces on Homogeneous Groups. (MN-28). [Paperback]
- Harmonic Analysis in Phase Space. (AM-122). [Paperback]
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75). [Paperback]
Hardcover: Not for sale in South Asia | |||||||||

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