Geodesic
The transmission problem with boundary conditions given by real measures
Dagmar Medková1
1 Department of Technical Mathematics Faculty of Mechanical Engineering Czech Technical University Karlovo nám. 13 12 135 Praha 2, Czech Republic
Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 243-259 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap92-3-4
Keywords: unique solvability problem mit delta cup au partial cdot nabla bn cdot nabla partial proved here positive constants real measure solution constructed using boundary integral equation method

Dagmar Medková 1

1 Department of Technical Mathematics Faculty of Mechanical Engineering Czech Technical University Karlovo nám. 13 12 135 Praha 2, Czech Republic 
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Dagmar Medková. The transmission problem with
 boundary conditions given by real measures. Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 243-259. doi: 10.4064/ap92-3-4

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