Geodesic
$L_1$–$L_\infty$ estimates of solutions of the Cauchy
Sbornik. Mathematics, Tome 198 (2007) no. 5, pp. 639-660 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Cauchy problem for a degenerate parabolic equation with anisotropic $p$-Laplacian and double non-linearity is considered. For increasing initial data local estimates for the $L_\infty$-norm of a solution are obtained, which yield a precise characterization of the growth of solutions at infinity. An estimate for the order of the length of the time interval on which a solution is defined is found in its dependence on the initial data. Bibliography: 12 titles. 
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     author = {S. P. Degtyarev and A. F. Tedeev},
     title = {$L_1${\textendash}$L_\infty$ estimates of solutions of the {Cauchy}},
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S. P. Degtyarev; A. F. Tedeev. $L_1$–$L_\infty$ estimates of solutions of the Cauchy. Sbornik. Mathematics, Tome 198 (2007) no. 5, pp. 639-660. http://geodesic.mathdoc.fr/item/SM_2007_198_5_a2/

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