Geodesic
A spatially inhomogeneous diffusion problem with strong absorption
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 749-761

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We study the asymptotic behaviour ($t \to +\infty$) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the $L^{\infty}$ by means of an appropriate family of sub and supersolutions. In appendix we prove the well posedness of the problem. 
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     author = {Ricci, Riccardo and Tarzia, Domingo A.},
     title = {A spatially inhomogeneous diffusion problem with strong absorption},
     journal = {Bollettino della Unione matematica italiana},
     pages = {749--761},
     publisher = {mathdoc},
     volume = {Ser. 8, 6B},
     number = {3},
     year = {2003},
     zbl = {1178.35207},
     mrnumber = {MR2014831},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a16/}
}
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Ricci, Riccardo; Tarzia, Domingo A. A spatially inhomogeneous diffusion problem with strong absorption. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 749-761. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a16/