Grisvard Pierre. Elliptic Problems in Nonsmooth Domains

Society for Industrial and Applied Mathematics, 1985. — 422 p.This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible.Foreword;
Preface;
Sobolev Spaces;
Regular Second-Order Elliptic Boundary Value Problems;
Second-Order Elliptic Boundary Value Problems in Convex Domains;
Second-Order Boundary Value Problems in Polygons;
More Singular Solutions;
Results in Spaces of Hšlder Functions;
A Model Fourth-Order Problem;
Miscellaneous;
Bibliography;