Title :
Solution of the jump boundary value problems with additional internal and external conditions for the Laplacian in R3
Author :
Polishchuk, Alexandr D.
Author_Institution :
Dept. of Nonlinear Math. Anal., Pidstryhach Inst. for Appl. Problems of Mech. & Math., Lviv, Ukraine
Abstract :
Conditions of well-posed solution of integral equations for the sum of simple and double layer potentials equivalent to the jump boundary value problems with additional Dirichlet and Neumann conditions for the Laplacian in R3 are determined.
Keywords :
Laplace transforms; boundary-value problems; integral equations; Dirichlet conditions; Laplacian; Neumann conditions; double layer potentials; external conditions; integral equations; internal conditions; jump boundary value problems; simple layer potentials; Acoustic waves; Electric potential; Electromagnetics; Integral equations; Laplace equations; Search problems; Seminars; Boundary value problem; Laplacian; potential; well-posed solution;
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.2014.6958349
