Wave Factorization of Elliptic Symbols: Theory and Applications
Subtitle: Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains
Publisher: Springer Netherlands
Published: December 28, 2009
Format: Paperback
Number of pages: 188
ISBN-13: 9789048155453
First sentence: Distributions are linear continuous functionals over the space of so-called basic functions.
Description: This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudodifferential) equations and their boundary problems in non-smooth domains. This approach is based on a special representation of symbols of elliptic operators called wave factorization. In canonical domains, for example, the angle on a plane or a wedge in space, this yields a general solution, and then leads to the statement of a boundary problem. Wave factorization has also been used to obtain explicit formulas for solving some problems in diffraction and elasticity theory. Audience: This volume will be of interest to mathematicians, engineers, and physicists whose work involves partial differential equations, integral equations, operator theory, elasticity and viscoelasticity, and electromagnetic theory. It can also be recommended as a text for graduate and postgraduate students for courses in singular integral and pseudodifferential equations.