A nonlocal p-laplacian evolution equation with nonhomogeneous dirichlet boundary conditions

In this paper we study the nonlocal p-Laplacian- type diffusion equation ut(t,x) = ∫RN J(x-y)|u(t, y) -u(t,x)| p-2(u(t, y) -u(t,x)) dy, (t, x) ∈]0,T[×ω, with u(t, x) = ψ(x) for (t, x) ∈ ]0,T[×(RN\\ω). If p > 1, this is the nonlocal analogous problem to the well-known local p- Laplacian evolut...

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Detalles Bibliográficos
Autores principales: Andreu, F., Mazón, J.M., Rossi, J.D., Toledo, J.
Formato: JOUR
Materias:
Nonhomogeneous Dirichlet boundary conditions
Nonlocal diffusion
P-Laplacian
Sandpiles
Total variation flow
Boundary conditions
Diffusion
Laplace transforms
Sand
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00361410_v40_n5_p1815_Andreu
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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