An introduction to pseudo-differential operators
Author(s)
Bibliographic Information
An introduction to pseudo-differential operators
World Scientific, c1999
2nd ed
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Note
Includes bibliographical references (p. 135-136) and index
Description and Table of Contents
Description
In this new edition of An Introduction to Pseudo-Differential Operators, the style and scope of the original book are retained. A chapter on the interchange of order of differentiation and integration is added at the beginning to make the book more self-contained, and a chapter on weak solutions of pseudo-differential equations is added at the end to enhance the value of the book as a work on partial differential equations. Several chapters are provided with additional exercises. The bibliography is slightly expanded and an index is added.
Table of Contents
- Differentiation of integrals depending on parameters
- the convolution
- the Fourier transform
- tempered distributions
- symbols, pseudo-differential operators and asymptotic expansions
- a partition of unity and Taylor's formula
- the product of two pseudo-differential operators
- the formal adjoint of a pseudo-differential operator
- the parametrix of an elliptic pseudo-differential operator
- Lp boundedness of pseudo-differential operators
- the Sobolev spaces
- closed linear operators
- minimal and maximal pseudo-differential operators
- global regularity of elliptic partial differential operators
- weak solutions of pseudo-differential equations.
by "Nielsen BookData"