Geodesic
Singular solutions of doubly singular parabolic equations with absorption
Electronic Journal of Differential Equations, Tome 2000 (2000).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study a doubly singular parabolic equation with absorption, $###, ###, ###$, and $###$. We give a complete classification of solutions, which we call singular, that are non-negative, non-trivial, continuous in ${\mathbb R}^n \times [0, \infty)\backslash\{(0,0)\} $, and satisfy $u(x,0)=0$ for all $x\neq 0$. Applications of similar but simpler equations show that these solutions are very important in the study of intermediate asymptotic behavior of general solutions.
Classification : 35K65, 35K15
Keywords: doubly singular parabolic equation, absorption, singular solutions 
@article{EJDE_2000__2000__a132,
     author = {Qi, Yuanwei and Wang, Mingxin},
     title = {Singular solutions of doubly singular parabolic equations with absorption},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a132/}
}
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Qi, Yuanwei; Wang, Mingxin. Singular solutions of doubly singular parabolic equations with absorption. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a132/