We study the asymptotic behaviour (t→ + ∞) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the L ∞ by means of an appropriate family of sub and super-solutions. In appendix we prove the well posedness of the problem.
A spatially inhomogeneous diffusion problem with strong absorption / R.RICCI; D.TARZIA. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - STAMPA. - 6:(2003), pp. 748-761.
A spatially inhomogeneous diffusion problem with strong absorption.
RICCI, RICCARDO;
2003
Abstract
We study the asymptotic behaviour (t→ + ∞) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the L ∞ by means of an appropriate family of sub and super-solutions. In appendix we prove the well posedness of the problem.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
