Best possible estimates of solutions to the transmission problem for the Laplace operator with N different media in a conical domain

Mikhail Borsuk

Applicationes Mathematicae (2007)

  • Volume: 34, Issue: 4, page 445-491
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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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 34.4 (2007): 445-491. <http://eudml.org/doc/279917>.

@article{MikhailBorsuk2007,
abstract = {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.},
author = {Mikhail Borsuk},
journal = {Applicationes Mathematicae},
keywords = {transmission problem; elliptic boundary value problem; asymptotics},
language = {eng},
number = {4},
pages = {445-491},
title = {Best possible estimates of solutions to the transmission problem for the Laplace operator with N different media in a conical domain},
url = {http://eudml.org/doc/279917},
volume = {34},
year = {2007},
}

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
VL - 34
IS - 4
SP - 445
EP - 491
AB - 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.
LA - eng
KW - transmission problem; elliptic boundary value problem; asymptotics
UR - http://eudml.org/doc/279917
ER -

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