Estimates of weak solutions to nondiagonal quasilinear parabolic systems

Dmitry Portnyagin

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 1, page 55-75
  • ISSN: 0066-2216

Abstract

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L -estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.

How to cite

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Dmitry Portnyagin. "Estimates of weak solutions to nondiagonal quasilinear parabolic systems." Annales Polonici Mathematici 85.1 (2005): 55-75. <http://eudml.org/doc/280222>.

@article{DmitryPortnyagin2005,
abstract = {$L^\{∞\}$-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.},
author = {Dmitry Portnyagin},
journal = {Annales Polonici Mathematici},
keywords = {bounded solution; Dirichlet data; -estimates; special structure; -Laplacians},
language = {eng},
number = {1},
pages = {55-75},
title = {Estimates of weak solutions to nondiagonal quasilinear parabolic systems},
url = {http://eudml.org/doc/280222},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Dmitry Portnyagin
TI - Estimates of weak solutions to nondiagonal quasilinear parabolic systems
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 1
SP - 55
EP - 75
AB - $L^{∞}$-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.
LA - eng
KW - bounded solution; Dirichlet data; -estimates; special structure; -Laplacians
UR - http://eudml.org/doc/280222
ER -

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