A spatially inhomogeneous diffusion problem with strong absorption.

被引:0
作者
Ricci, R
Tarzia, DA
机构
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[2] Univ Austral Paraguay, CONICET, FCE, Dept Math, RA-1950 Rosario, Argentina
来源
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2003年 / 6B卷 / 03期
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the asymptotic behaviour (t --> + infinity) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the L (infinity) by means of an appropriate family of sub and super-solutions. In appendix we prove the well posedness of the problem.
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页码:749 / 761
页数:13
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