We study the asymptotic behavior for nonlocal diffusion models of the form u t = J \* uu in the whole R N or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In R N we obtain that the long time behavior of the solutions is determined by the behavior of the Fourier transform
β¦ LIBER β¦
Asymptotic Behavior of a Nonlocal Diffusive Logistic Equation
β Scribed by Ducrot, Arnaud; Magal, Pierre
- Book ID
- 124050452
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2014
- Tongue
- English
- Weight
- 345 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0036-1410
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The existence of a global attractor in L 2 (β¦) is established for a reaction-diffusion equation on a bounded domain β¦ in R d with Dirichlet boundary conditions, where the reaction term contains an operator F : L 2 (β¦) β L 2 (β¦) which is nonlocal and possibly nonlinear. Existence of weak solutions i