Solution of the Transmission Problem

0342852 - MÚ 2011 RIV NL eng J - Journal Article
Medková, Dagmar
Solution of the Transmission Problem.
Acta Applicandae Mathematicae. Roč. 110, č. 3 (2010), s. 1489-1500. ISSN 0167-8019. E-ISSN 1572-9036
Institutional research plan: CEZ:AV0Z10190503
Keywords : Laplace equation * transmission problem * single layer potential * double layer potential
Subject RIV: BA - General Mathematics
Impact factor: 0.979, year: 2010
http://link.springer.com/article/10.1007%2Fs10440-009-9522-5

The transmission problem for the Laplace equation is studied. The boundary conditions are p-integrable p-integrable functions and they are satisfied in the sense of the non-tangential limit. The necessary and sufficient conditions for a solvability of the problems is stated and a solution is constructed.
Permanent Link: http://hdl.handle.net/11104/0185471