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
Cet article a éte moissonné depuis 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},
year = {2007},
volume = {34},
number = {4},
doi = {10.4064/am34-4-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am34-4-7/}
}
TY - JOUR AU - Mikhail Borsuk TI - Best possible estimates of solutions to the transmission problem for the Laplace operator with $N$ different media in a conical domain JO - Applicationes Mathematicae PY - 2007 SP - 445 EP - 491 VL - 34 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4064/am34-4-7/ DO - 10.4064/am34-4-7 LA - en ID - 10_4064_am34_4_7 ER -
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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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