Eidelman S.D., Ivasyshen S.D., Kochubei A. Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

Birkhauser, 2004. — 394 p.The theory of parabolic equations, a well-developed part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics. This book aims at a consistent and, as far as possible, a complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the four classes of linear parabolic equations with coefficients depending on all variables.