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math.AP2024
Spectral properties of Lévy Fokker--Planck equations
Hardy Chan, Marco A. Fontelos, María del Mar González
Hermite polynomials, which are associated to a Gaussian weight and solve the Laplace equation with a drift term of linear growth, are classical in analysis and well-understood via…
math.AP2023
Singular solutions for space-time fractional equations in a bounded domain
Hardy Chan, Juan Luis Vázquez, David Gómez-Castro
This paper is devoted to describing a linear diffusion problem involving fractional-in-time derivatives and self-adjoint integro-differential space operators posed in bounded domai…
math.AP2023
Boundary regularity of an isotropically censored nonlocal operator
Hardy Chan
In a bounded domain, we consider a variable range nonlocal operator, which is maximally isotropic in the sense that its radius of interaction equals the distance to the boundary. W…