Operator Theory: Advances and Applications
2 primary works
Book 101
This monograph is devoted to the theory of general parabolic bondary problems. It starts with basic notions and various illustrative examples, followed by a detailed and systematic exposition of the L2-theory of parabolic boundary value problems with smooth functions and distributions of arbitrary finite order. A survey of the Cauchy problem and boundary value problem in spaces of smooth functions broadens the scope of the work. Special attention is paid to detailed study of examples illustrating and complementing the theory.
Book 152
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
by Samuil D. Eidelman, Stepan D. Ivasyshen, and Anatoly N. Kochubei
Published 27 September 2004
This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.