Linear partial differential equations with constant coefficients : existence, approximation, and regularity of solutions /

Linear partial differential equations with constant coefficients : existence, approximation, and regularity of solutions /

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Bibliographic Details
Author / Creator:	Treves, Francois, 1930- author.
Imprint:	New York : Gordon and Breach Science Publishers, [1966] ©1966
Description:	x, 534 pages ; 24 cm.
Language:	English
Series:	Mathematics and its applications ; v. 6 Mathematics and its applications ; v. 6.
Subject:	Differential equations, Partial. Differential equations, Partial.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/927013

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Notes:	Book is an enlarged and revised version of author's lecture notes from a course at the Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil, in 1961. Includes bibliographical references (pages 531-534) and index.
Other form:	Online version: Treves, Francois, 1930- Linear partial differential equations with constant coefficients. New York, Gordon and Breach [1966]

Table of Contents:

Existence and approximation theorems for general differential operators
General L² estimates
Fundamental solutions
The approximation theorem
Existence theorems for differential operators with constant coefficients
Convexity with respect to a differential polynomial
Interior regularity of solutions
Partial hypoellipticity
Existence and approximation theorems in spaces of analytic functions
Appendix A. Semi-algebraic sets
Appendix B. On uniqueness in the Cauchy problem
Appendix C. Some formulas of non-commutative algebra.