Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems.

Russell M. Brown; Zhongwei Shen

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 3, page 271-303
  • ISSN: 0213-2230

Abstract

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We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of Lp-spaces.

How to cite

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Brown, Russell M., and Shen, Zhongwei. "Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems.." Revista Matemática Iberoamericana 8.3 (1992): 271-303. <http://eudml.org/doc/39435>.

@article{Brown1992,
abstract = {We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of Lp-spaces.},
author = {Brown, Russell M., Shen, Zhongwei},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones parabólicas; Ecuaciones diferenciales en derivadas parciales; Cilindros; Cuerpo tridimensional; Dominios de Lipschitz; Problema de contorno; initial boundary value problem; linear parabolic system with constant coefficients; existence; uniqueness; estimates},
language = {eng},
number = {3},
pages = {271-303},
title = {Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems.},
url = {http://eudml.org/doc/39435},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Brown, Russell M.
AU - Shen, Zhongwei
TI - Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 3
SP - 271
EP - 303
AB - We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of Lp-spaces.
LA - eng
KW - Ecuaciones parabólicas; Ecuaciones diferenciales en derivadas parciales; Cilindros; Cuerpo tridimensional; Dominios de Lipschitz; Problema de contorno; initial boundary value problem; linear parabolic system with constant coefficients; existence; uniqueness; estimates
UR - http://eudml.org/doc/39435
ER -

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