Geodesic
Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption
Sbornik. Mathematics, Tome 196 (2005) no. 11, pp. 1693-1713 
I. I. Skrypnik. Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption. Sbornik. Mathematics, Tome 196 (2005) no. 11, pp. 1693-1713. http://geodesic.mathdoc.fr/item/SM_2005_196_11_a6/
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     title = {Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is devoted to the investigation of solutions with point singularities for a general quasilinear parabolic equation with absorption. A method for the derivation of new pointwise estimates of a solution and integral estimates of its gradient is developed. Precise conditions on the behaviour of the term characterizing the absorption in the equation that ensure the non-existence of solutions with point singularities are established. The cases of solutions with singularities in the initial plane and in the interior of the domain are considered.

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