On linear Schr\"odinger parabolic problems in Morrey spaces
Analysis of PDEs
2024-07-24 v1
Abstract
We consider parabolic Schr\"odinger type equations associated to fractional powers of uniformly elliptic 2m-order operators with constant coefficients. Potentials and initial data are considered in suitable Morrey spaces. By means of perturbation techniques we prove that several properties of the problem with no potential are preserved. We also prove continuous dependence of solutions with respect to perturbations. To carry out the analysis a general abstract perturbation approach is developed, which broadens the results known in the literature.
Cite
@article{arxiv.2407.16605,
title = {On linear Schr\"odinger parabolic problems in Morrey spaces},
author = {Jan W. Cholewa and Anibal Rodriguez-Bernal},
journal= {arXiv preprint arXiv:2407.16605},
year = {2024}
}