Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems

Masashi Misawa

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 3, page 287-302
  • ISSN: 1233-7234

Abstract

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We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.

How to cite

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Masashi Misawa. "Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems." Applicationes Mathematicae 31.3 (2004): 287-302. <http://eudml.org/doc/279406>.

@article{MasashiMisawa2004,
abstract = {We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.},
author = {Masashi Misawa},
journal = {Applicationes Mathematicae},
keywords = {maximum principle for weak solutions},
language = {eng},
number = {3},
pages = {287-302},
title = {Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems},
url = {http://eudml.org/doc/279406},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Masashi Misawa
TI - Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 3
SP - 287
EP - 302
AB - We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
LA - eng
KW - maximum principle for weak solutions
UR - http://eudml.org/doc/279406
ER -

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