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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16605 |
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| _version_ | 1866914883074785280 |
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| author | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| author_facet | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| contents | We consider parabolic Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On linear Schrödinger parabolic problems in Morrey spaces Cholewa, Jan W. Rodriguez-Bernal, Anibal Analysis of PDEs 35K30, 35R11 We consider parabolic Schrödinger 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. |
| title | On linear Schrödinger parabolic problems in Morrey spaces |
| topic | Analysis of PDEs 35K30, 35R11 |
| url | https://arxiv.org/abs/2407.16605 |