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Overview
Second order linear parabolic and elliptic equations arise frequently in mathematical physics, biology and finance. Here the authors present a state of the art treatment of the subject from a new perspective. They then go on to discuss how the results in the book can be applied to control theory. This area is developing rapidly and there are numerous notes and references that point the reader to more specialized results not covered in the book. Coverage of some essential background material helps to make the book self contained.
Synopsis
State of the art treatment of the subject with background and references for further reading.
Booknews
Da Prato (Scuola Normale Superiore di Pisa) and Zabczyk (Polish Academy of Sciences, Warsaw) present the state of the rapidly evolving art of the theory of parabolic/elliptic equations in an infinite dimensional Hilbert space—theory relevant to functional analysis, mathematical physics, and applied mathematics. The theoretical section covers spaces of continuous functions and Sobolev spaces. Applications to control theory are then discussed. Appendices address interpolation spaces, null controllability, and semiconcave functions and Hamilton-Jacobi semigroups. Annotation c. Book News, Inc., Portland, OR