Elliptic Boundary Value Problems in the Spaces of Distributions

By Yakov Roitberg

Book Overview

(2) Green's functions were constructed and studied for general elliptic boundary-va- lue problems ( BeRI]- Ber3], Kovl], and Kov2]). (3) Generalized eigenfunctions, spectral function, etc., were investigated in spectral theory Ber]. (4) Elliptic boundary-value problems with arbitrary power singularities on the right- hand sides were investigated ( Roi6], Kos2, ] and Ser)). (5) A family of elliptic problems was studied in a family of expanding domains; the obtained results were applied to the investigation of elliptic problems with time deriva- tives in the boundary conditions and parabolic problems in noncylindrical domains ( Kre3], KLa], and IKK)). (6) Strongly degenerate elliptic problems were studied in RShI5]- RShI8]. (7) Application to the investigation of traces of generalized solutions of equations on the boundary of the domain ( Roi8], Roi4], Roil5], and RoiI7D. (8) Application to problems of transmission ( Roi3], Roi4], RSh6], and RShlOD. (9) Applications to the investigation of nonlocal elliptic problems ( RSh7]- RSh9], RShll], and RShI2)). (10) Application to problems of optimal control ( Li05], RSh13], and RShI4D. (11) Application to the theory of underdetermined and overdetermined problems ( Klvl]- KLv3D. (12) Application to nonlinear problems ( Lio6] and KrSD. (13) Application to the problems of mechanical motion of non-Newton liquids Lit]. These and many other examples demonstrate that the efforts of the reader who wants to become an expert in the theory developed in the book will give fruitful results very quickly.

• Format: Hardcover
• Language: English
• ISBN: 0792343034
• ISBN13: 9780792343035
• Release Date: October 1996
• Publisher: Springer
• Length: 420 Pages
• Weight: 1.73 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"