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Asymptotic behaviour of some nonlocal diffusion problems. (English) Zbl 1023.35016
The authors deal with a parabolic equation having a diffusion coefficient depending on a nonlocal quantity, and investigate the convergence of the solution towards a steady state. Using the dynamical systems point of view, the authors are able to treat the case of a continuum of steady states.
Reviewer: Jiaqi Mo (Wuhu)

35B40 Asymptotic behavior of solutions to PDEs
35K55 Nonlinear parabolic equations
35K35 Initial-boundary value problems for higher-order parabolic equations
Full Text: DOI
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