1 citations · 1 across the 3 of their papers we have counts for
5 papers
Evolution equation with fractional Schrödinger operators: monotonicity and exponential decay of solutions in Morrey spaces
Jan W. Cholewa, Anibal Rodriguez-Bernal
We consider evolution equation with fractional Schrödinger operators in Morrey spaces. We prove order preserving properties of the associated semigroup in Morrey scale. We prove mo…
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…
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…
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…
Linear nonlocal diffusion problems in metric measure spaces
Aníbal Rodríguez-Bernal, Silvia Sastre-Gómez
The aim of this paper is to provide a comprehensive study of some linear nonlocal diffusion problems in metric measure spaces. These include, for example, open subsets in $\mathbb{…