Estimates of weak solutions to nondiagonal
quasilinear parabolic systems
Annales Polonici Mathematici, Tome 85 (2005) no. 1, pp. 55-75
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
$L^{\infty }$-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.
Keywords:
infty estimates weak solutions established quasilinear non diagonal parabolic system special structure whose leading terms modelled p laplacians generalization weak maximum principle systems equations employed
Affiliations des auteurs :
Dmitry Portnyagin 1
@article{10_4064_ap85_1_5,
author = {Dmitry Portnyagin},
title = {Estimates of weak solutions to nondiagonal
quasilinear parabolic systems},
journal = {Annales Polonici Mathematici},
pages = {55--75},
publisher = {mathdoc},
volume = {85},
number = {1},
year = {2005},
doi = {10.4064/ap85-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap85-1-5/}
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TY - JOUR AU - Dmitry Portnyagin TI - Estimates of weak solutions to nondiagonal quasilinear parabolic systems JO - Annales Polonici Mathematici PY - 2005 SP - 55 EP - 75 VL - 85 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap85-1-5/ DO - 10.4064/ap85-1-5 LA - en ID - 10_4064_ap85_1_5 ER -
Dmitry Portnyagin. Estimates of weak solutions to nondiagonal quasilinear parabolic systems. Annales Polonici Mathematici, Tome 85 (2005) no. 1, pp. 55-75. doi: 10.4064/ap85-1-5
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