Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

Samuil D. Eidelman

The theory of parabolic equations, a well-developed part of the contemporary theory of partial differential equations and mathematical physics, is the subject of immense research activity. A stable interest to parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in applied problems of natural science, technology, and economics. This book aims at a consistent and, as far as possible, complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the following four classes of linear parabolic equations: - 2b-parabolic partial differential equations, in which every spatial variable may have its own weight with respect to the time variable - degenerate partial differential equations of Kolmogorov's structure, which generalize classical Kolmogorov...