Asymptotic behaviour of some nonlocal diffusion problems
Asymptotic behaviour of some nonlocal diffusion problems
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DOI：
10.1080/00036810108840994
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发表时间：
2001-12
影响因子：
1.1
通讯作者：
C. Michel;Molinet Lue
中科院分区：
文献类型：
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作者：
C. Michel;Molinet Lue
我们处理一个扩散系数依赖于非局部量的抛物型方程。我们研究了解向定态收敛的问题，推广了[M.Chipot和B.Lovat(1999)]的结果。关于某些非局部问题的渐近性态。积极，3，65-81]。用动力系统的观点，我们能够处理定态连续体的情况
We deal with a parabolic equation having a diffusion coefficient depending on a nonlocal quantity. We investigate the convergence of the solution towards a steady state, extending previous results obtained by [M. Chipot and B. Lovat (1999). On the asympotic behaviour of some nonlocal problems. Positivity, 3, 65-81]. Using the dynamical systems point of view, we are able to treat the case of a continuum of steady states