Title :
Solution of double-sided boundary value problems for the Laplacian in R3 by means of potential theory methods
Author :
Polishchuk, Alexandr D.
Author_Institution :
Dept. of Nonlinear Math. Anal., Pidstryhach Inst. for Appl. Problems of Mech. & Math., Lviv, Ukraine
Abstract :
A survey of conditions of well-posed solvability for the main double-sided boundary value problems for the Laplacian in R3 and equivalent to them integral equations for the sum of simple and double layer potentials are given.
Keywords :
Laplace equations; boundary-value problems; computability; computational electromagnetics; integral equations; Laplace equations; double layer potentials; double-sided boundary value problems; integral equations; potential theory methods; well-posed solvability; Boundary value problems; Electric potential; Integral equations; Inverse problems; Laplace equations; Search problems; Seminars; Laplacian; boundary operator; double-sided problem; well-posed solvability;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2014 XIXth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4799-6213-6
DOI :
10.1109/DIPED.2014.6958350
