Partial Differential Operators of Elliptic Type - Shimakura, Norio

Presents a comprehensive study of the theory of elliptic partial differential operators. Starting with the definitions of ellipticity for higher order operators, this title discusses the Laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Schauder theory, and degenerate elliptic operators.