On the long-time behaviour of solutions of the p-Laplacian parabolic system

Paweł Goldstein. "On the long-time behaviour of solutions of the p-Laplacian parabolic system." Colloquium Mathematicae 113.2 (2008): 267-278. <http://eudml.org/doc/283606>.

@article{PawełGoldstein2008,
abstract = {Convergence of global solutions to stationary solutions for a class of degenerate parabolic systems related to the p-Laplacian operator is proved. A similar result is obtained for a variable exponent p. In the case of p constant, the convergence is proved to be $¹_\{loc\}$, and in the variable exponent case, L² and $W^\{1,p(x)\}$-weak.},
author = {Paweł Goldstein},
journal = {Colloquium Mathematicae},
keywords = {-Laplacian parabolic system; convergence of solutions; long-time behaviour; Hölder continuity up to the boundary of the gradient; variable exponent},
language = {eng},
number = {2},
pages = {267-278},
title = {On the long-time behaviour of solutions of the p-Laplacian parabolic system},
url = {http://eudml.org/doc/283606},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Paweł Goldstein
TI - On the long-time behaviour of solutions of the p-Laplacian parabolic system
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 267
EP - 278
AB - Convergence of global solutions to stationary solutions for a class of degenerate parabolic systems related to the p-Laplacian operator is proved. A similar result is obtained for a variable exponent p. In the case of p constant, the convergence is proved to be $¹_{loc}$, and in the variable exponent case, L² and $W^{1,p(x)}$-weak.
LA - eng
KW - -Laplacian parabolic system; convergence of solutions; long-time behaviour; Hölder continuity up to the boundary of the gradient; variable exponent
UR - http://eudml.org/doc/283606
ER -