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

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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.
Si studia il comportamento asintotico delle soluzioni di un problema di diffusione non lineare con assorbimento forte. Si dimostra la convergenza alla soluzione stazionaria nella norma $L^{\infty}$ usando una opportuna famiglia di sopra e sottosoluzioni. In appendice si dimostra la buona posizione del problema. 
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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/

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