Asymptotic behaviour for a semilinear nonlocal equation

We study the semilinear nonlocal equation u t =Ju-u-u p in the whole. First, we prove the global well-posedness for initial conditions. Next, we obtain the long time behaviour of the solutions. We show that different behaviours are possible depending on the exponent p and the kernel J: finite time e...

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Detalles Bibliográficos
Autores principales: Pazoto, A.F., Rossi, J.D.
Formato: JOUR
Materias:
Asymptotic behaviour
Nonlocal diffusion
Semilinear problems
Approximation theory
Finite element method
Linear equations
Asymptotic behavior
Asymptotic analysis
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09217134_v52_n1-2_p143_Pazoto
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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