Title :
Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - I. Using the Simple Layer Potential
Author :
Polishchuk, Alexander D.
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., NASU, Lviv
Abstract :
Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of simple layer potential in the Hilbert space normal derivatives elements of which have a jump through boundary surface were considered. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface
Keywords :
Laplace equations; boundary-value problems; Hilbert space normal derivative; Laplacian representation; boundary value problem; simple layer potential; tired boundary surface; Boundary value problems; Computer aided software engineering; Hilbert space; Laplace equations; Mathematics;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings of XIth International Seminar/Workshop on
Conference_Location :
Tbilisi, Georgia
Print_ISBN :
966-02-3873-8
DOI :
10.1109/DIPED.2006.314312
