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.
"This is an excellent monograph on the applications of functional analytic methods in partial differential equations. Written by a recognized international expert, the book will be of great interest to mathematical analysts, physicists as well as graduate and postgraduate level students in the field. "
---Zentrallblatt fur Mathematik
"Due to the large area of tackled problems and to the clear and detailed proofs, this monograph is interesting and accessible both to specialists and to graduate students."
---Rev. Roumaine Math. Pures Appl., 2000
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.