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arXiv · 2407.16605

On linear Schr\"odinger parabolic problems in Morrey spaces

Jan W. Cholewa·Anibal Rodriguez-Bernal
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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.

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Jan W. Cholewa, Anibal Rodriguez-Bernal. 2024-07-23. On linear Schr\"odinger parabolic problems in Morrey spaces. https://arxiv.org/abs/2407.16605

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