1st Edition

Functional Analytic Methods for Partial Differential Equations

By Hiroki Tanabe Copyright 1997
    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