Description
Book SynopsisAims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work focuses on fundamental results of the theory: estimates for solutions in different function spaces, regularity assertions and asymptotic formulas for the solutions near singular points.
Table of ContentsIntroduction Part 1: Boundary value problems for ordinary differential equations on the half-axis Elliptic boundary value problems in the half-space Elliptic boundary value problems in smooth domains Variants and extensions Part 2: Elliptic boundary value problems in an infinite cylinder Elliptic boundary value problems in domains with conical points Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms Variants and extensions Part 3 Elliptic boundary value problems in domains with exterior cusps Elliptic boundary value problems in domains with inside cusps Bibliography Index List of symbols.
