Geodesic
Universal bounds for positive solutions of doubly degenerate parabolic equations with a source
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2 
A. F. Tedeev. Universal bounds for positive solutions of doubly degenerate parabolic
       equations with a source. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a7/
@article{AMUC_2011_80_2_a7,
     author = {A. F. Tedeev},
     title = {Universal bounds for positive solutions of doubly degenerate parabolic
       equations with a source},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2011},
     volume = {80},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a7/}
}
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       equations with a source
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Voir la notice de l'article provenant de la source Comenius University

We consider a doubly degenerate parabolic equation with a source term of the form For a positive solution of the equation we prove universal bounds and provide blow-up rate estimates under suitable assumptions on p < p 0 (λ, β, N ). In particular, we extend some of the recent results by K. Ammar and Ph. Souplet concerning the blow-up estimates for porous media equations with a source. Our proofs are based on a generalized version of the Bochner-Weitzenbök formula and local energy estimates.