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Pré-Publication, Document De Travail Année : 2011

Asymptotic behaviour of solutions of quasilinear parabolic equation with Robin boundary condition

Résumé

In this paper we study solutions of the quasi-linear parabolic equations @u=@t pu = a(x)jujq1u in (0; T) with Robin boundary condition @u=@ jrujp2 = b(x)jujr1u in (0; T) @ where is a regular bounded domain in IRN, N 3, q > 1, r > 1 and p 2. Some su cient conditions on a and b are obtained for those solutions to be bounded or blowing up at a nite time. Next we give the asymptotic behavior of the solution in special cases.
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Dates et versions

hal-00638562 , version 1 (05-11-2011)

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  • HAL Id : hal-00638562 , version 1

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Michèle Grillot, Philippe Grillot. Asymptotic behaviour of solutions of quasilinear parabolic equation with Robin boundary condition. 2011. ⟨hal-00638562⟩
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