A. Pablo

activity

20112021

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Showing 2018Show all

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math.AP2018

Anisotropic nonlocal diffusion equations with singular forcing

Arturo de Pablo, Fernando Quirós, Ana Rodríguez

We prove existence, uniqueness and regularity of solutions of nonlocal heat equations associated to anisotropic stable diffusion operators. The main features are that the right-han…

math.AP2018

Remarks on a nonlinear nonlocal operator in Orlicz spaces

Ernesto Correa, Arturo de Pablo

We study integral operators $L u (x) = \int_{R^{N}} ψ (u (x) - u (y)) J (x - y) d y$ of the type of the fractional $p$ -Laplacian operator, and the properties of the correspondin…