Best possible estimates of solutions to the
transmission problem for
the Laplace operator with $N$ different media
in a conical domain
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 445-491
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the behavior of weak solutions to the transmission problem for the Laplace operator with $N$ different media in a neighborhood of a boundary conical point. We establish a precise exponent of the decreasing rate of the solution.
Keywords:
investigate behavior weak solutions transmission problem laplace operator different media neighborhood boundary conical point establish precise exponent decreasing rate solution
Affiliations des auteurs :
Mikhail Borsuk 1
@article{10_4064_am34_4_7,
author = {Mikhail Borsuk},
title = {Best possible estimates of solutions to the
transmission problem for
the {Laplace} operator with $N$ different media
in a conical domain},
journal = {Applicationes Mathematicae},
pages = {445--491},
publisher = {mathdoc},
volume = {34},
number = {4},
year = {2007},
doi = {10.4064/am34-4-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am34-4-7/}
}
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Mikhail Borsuk. Best possible estimates of solutions to the transmission problem for the Laplace operator with $N$ different media in a conical domain. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 445-491. doi: 10.4064/am34-4-7
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