The transmission problem with boundary conditions given by real measures
Tom 92 / 2007
Annales Polonici Mathematici 92 (2007), 243-259
MSC: 31B10, 35J05.
DOI: 10.4064/ap92-3-4
Streszczenie
The unique solvability of the problem ${\mit\Delta} u=0$ in $G^+\cup G^-$, $u_+ -au_- =f$ on $\partial G^+$, $n^+ \cdot \nabla u_+ -bn^+ \cdot \nabla u_-=g $ on $\partial G^+$ is proved. Here $a$, $b$ are positive constants and $g$ is a real measure. The solution is constructed using the boundary integral equation method.
