Functional analytic methods for partial differential equations

by Tanabe, Hiroki

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Title Statements

Full title :Functional analytic methods for partial differential equations / Hiroki Tanabe.

Summary

Combining both classical and current methods of analysis, this valuable resource presents clear, detailed discussions on the application of functional analytic methods in partial differential equations. Examining evolution equations in Banach spaces, Functional Analytic Methods for Partial Differential Equations furnishes a slightly simplified, self-contained proof of Agmon-Douglis-Nirenberg's L[superscript p] estimates for boundary value problems ... addresses the theory of function spaces, including interpolation inequalities, the Galgliardo-Nirenberg inequality, and Sobolev's imbedding theorems ... describes adjoint boundary value problems ... offers recent results on parabolic and hyperbolic equations ... illustrates the solvability of retarded functional differential equations in Hilbert spaces ... gives results on control problems ... and much more.

Edition Statements

Publication Date:©1997.

Publication Statements

Publisher(s):Marcel Dekker
Place of Publication:New York
Language:eng
Publication Date:©1997.

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:9780203755419, 0203755413
oclc:on1016052065
LC Classification:QA321
Dewey Decimal:515/.353

1. Preliminaries -- 2. Singular Integrals -- 3. Sobolev Spaces -- 4. Elliptic Boundary Value Problems -- 5. Elliptic Boundary Value Problems (Continued) -- 6. Parabolic Evolution Equations -- 7. Hyperbolic Evolution Equations -- 8. Retarded Functional Differential Equations.