In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result might be true. Kenig describes these developments and connections for the study of classical boundary value problems on Lipschitz domains and for the corresponding problems for second order elliptic equations in divergence form. He also points out many interesting problems in this area which remain open.
A monograph describing recent developments in the study of boundary value problems and connections for the case of second order elliptic equasions in divergence form and showing that, in spite of the successes encountered so far, many interesting problems remain open. Chapter One covers divergence form elliptic equations; Chapter Two covers some classes of examples and their perturbation theory. Lacks an index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
