Geodesic
Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 169-198.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems.
DOI : 10.1007/s10587-011-0005-2
Classification : 35B09, 35B44, 35B45, 35B53, 35J61, 35K59
Keywords: a priori estimates; Liouville theorems; blow-up rate; positive solution; indefinite parabolic problem 
@article{10_1007_s10587_011_0005_2,
     author = {F\"oldes, Juraj},
     title = {Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems},
     journal = {Czechoslovak Mathematical Journal},
     pages = {169--198},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {2011},
     doi = {10.1007/s10587-011-0005-2},
     mrnumber = {2782767},
     zbl = {1224.35013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0005-2/}
}
TY  - JOUR
AU  - Földes, Juraj
TI  - Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
JO  - Czechoslovak Mathematical Journal
PY  - 2011
SP  - 169
EP  - 198
VL  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0005-2/
DO  - 10.1007/s10587-011-0005-2
LA  - en
ID  - 10_1007_s10587_011_0005_2
ER  - 
%0 Journal Article
%A Földes, Juraj
%T Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
%J Czechoslovak Mathematical Journal
%D 2011
%P 169-198
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0005-2/
%R 10.1007/s10587-011-0005-2
%G en
%F 10_1007_s10587_011_0005_2
Földes, Juraj. Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 169-198. doi : 10.1007/s10587-011-0005-2. http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0005-2/

Cité par Sources :