Functional analytic methods for partial differential equations
著者
書誌事項
Functional analytic methods for partial differential equations
（Monographs and textbooks in pure and applied mathematics, 204）
CRC Press, 2019
- : pbk
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注記
Includes bibliographical remarks (p. 391-395), bibliography (p. 397-410) and index
"First issued in paperback 2019"--T.p. verso
内容説明・目次
内容説明
Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.
目次
- Singular integrals
- Sobolev spaces
- elliptic boundary value problems
- elliptic boundary value problems (continued)
- parabolic evolution equations
- hyperbolic evolution equations
- retarded functional differential equations
- list of symbols.
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