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Compactness properties of the generalized green operator associated to the porous-media equation

Díaz Díaz, Jesús Ildefonso and Vrabie, Ioan I. (1989) Compactness properties of the generalized green operator associated to the porous-media equation. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 309 (4). pp. 221-223. ISSN 0764-4442

Official URL: http://www.sciencedirect.com/science/journal/07644442

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Abstract

We show some compactness properties of the operator f--u, where u is the solution of the nonlinear diffusion equation ut−Δφ(u)=f on (0,T)×Ω associated with the parabolic boundary conditions φ(u)=0 on (0,T)×∂Ω and u(0,⋅)=u0(⋅) on Ω, u0 a given function in L1(Ω). Our results are carried out under the general assumption that φ is a real continuous strictly increasing function satisfying φ(0)=0.


Item Type:Article
Uncontrolled Keywords:compactness properties; Green operator; porous media equation
Subjects:Sciences > Mathematics > Differential geometry
ID Code:16285
Deposited On:10 Sep 2012 07:59
Last Modified:08 May 2013 17:03

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