By Topic

Solution of searched function and its normal derivative jump problem for the Laplacian in R3 by means of simple and double layer potentials

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Polishchuk, A.D. ; Inst. of Appl. Problems of Mech. & Math., Lviv, Ukraine

Modeling of electrostatic fields at the environments with different characters leads to necessity of solution of the jump problems with inclined derivative for the Laplacian in R3. This problem at the Hilbert space the normal derivative elements of which has the jump through boundary surface was considered in [2]. Solution of this problem was searched as simple layer potential. At the Hilbert space the elements of which have the jump through boundary surface such problem was considered in [4]. Solution of this problem was searched as double layer potential. The searched function and its derivative jump problem at the Hilbert space elements of which as their normal derivatives has the jump through boundary surface are considered at this article. The conditions of well-posed solution of formulated problem are determined. We suggest to look for the solution of this problem as the sum of simple and double layer potentials. We define the conditions of the well-posed solution of the later.

Published in:

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on

Date of Conference:

26-29 Sept. 2011