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math.AP2024★ 1 cited
Nonlinear nonlocal reaction-diffusion problem with local reaction
Aníbal Rodríguez-Bernal, Silvia Sastre-Gomez
In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinea…
math.AP2024
On linear Schrödinger parabolic problems in Morrey spaces
Jan W. Cholewa, Anibal Rodriguez-Bernal
We consider parabolic Schrödinger type equations associated to fractional powers of uniformly elliptic 2m-order operators with constant coefficients. Potentials and initial data ar…
math.AP2024
Exponential decay for fractional Schrödinger parabolic problems
Jan W. Cholewa, Anibal Rodriguez-Bernal
We discuss exponential decay in , , of solutions of a fractional Schrödinger parabolic equation with a locally uniformly integrable potential. The ex…