Maximum and antimaximum principles for some nonlocal diffusion operators

In this work we consider the maximum and antimaximum principles for the nonlocal Dirichlet problem J * u - u + λ u + h = ∫RN J (x - y) u (y) d y - u (x) + λ u (x) + h (x) = 0 in a bounded domain Ω, with u (x) = 0 in RN {set minus} Ω. The kernel J in the convolution is assumed to be a continuous, com...

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Detalles Bibliográficos
Autores principales: García-Melián, J., Rossi, J.D.
Formato: JOUR
Materias:
Antimaximum principle
Maximum principle
Nonlocal diffusion
Principal eigenvalue
Bounded domain
Compactly supported
Dirichlet problem
Nonlocal
Nonnegative functions
Principal eigenvalues
Diffusion
Eigenvalues and eigenfunctions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v71_n12_p6116_GarciaMelian
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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