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
Refined asymptotic expansions for nonlocal diffusion equations
β Scribed by Liviu I. Ignat; Julio D. Rossi
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 135 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1424-3199
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π SIMILAR VOLUMES
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
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This paper is concerned with some dynamical property of a reaction-diffusion equation with nonlocal boundary condition. Under some conditions on the kernel in the boundary condition and suitable conditions on the reaction function, the asymptotic behavior of the time-dependent solution is characteri