Evolution equation with fractional Schrödinger operators: monotonicity and exponential decay of solutions in Morrey spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918249130622976 |
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| author | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| author_facet | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| contents | 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 monotonicity of the semigroup with respect to Morrey's potentials and give some precise estimates of its exponential growth. We show that Arendt and Batty's type condition on the potential is necessary for exponential decay of Morrey's norms of the semigroup and find a large class of dissipative potentials for which it is also sufficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Evolution equation with fractional Schrödinger operators: monotonicity and exponential decay of solutions in Morrey spaces Cholewa, Jan W. Rodriguez-Bernal, Anibal Analysis of PDEs 35J10, 35R11, 47D06, 35B09, 35B35 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 monotonicity of the semigroup with respect to Morrey's potentials and give some precise estimates of its exponential growth. We show that Arendt and Batty's type condition on the potential is necessary for exponential decay of Morrey's norms of the semigroup and find a large class of dissipative potentials for which it is also sufficient. |
| title | Evolution equation with fractional Schrödinger operators: monotonicity and exponential decay of solutions in Morrey spaces |
| topic | Analysis of PDEs 35J10, 35R11, 47D06, 35B09, 35B35 |
| url | https://arxiv.org/abs/2512.13499 |