1st Edition

Functional Analytic Methods for Partial Differential Equations

By Hiroki Tanabe Copyright 1997
432 Pages
by CRC Press

432 Pages
by CRC Press

432 Pages
by CRC Press

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.

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.

Biography

Tanabe, Hiroki