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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/2404.16438 |
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| _version_ | 1866914795469406208 |
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| author | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| author_facet | Cholewa, Jan W. Rodriguez-Bernal, Anibal |
| contents | We discuss exponential decay in $L^p(R^N)$, $1\leq p \leq \infty$, of solutions of a fractional Schrödinger parabolic equation with a locally uniformly integrable potential. The exponential type of the semigroup of solutions is considered and its dependence in
$1\leq p \leq \infty$ is addressed. We characterise a large class of potentials for which solutions decay exponentially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16438 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential decay for fractional Schrödinger parabolic problems Cholewa, Jan W. Rodriguez-Bernal, Anibal Analysis of PDEs 35J10, 35R11, 47D06, 35B35 We discuss exponential decay in $L^p(R^N)$, $1\leq p \leq \infty$, of solutions of a fractional Schrödinger parabolic equation with a locally uniformly integrable potential. The exponential type of the semigroup of solutions is considered and its dependence in $1\leq p \leq \infty$ is addressed. We characterise a large class of potentials for which solutions decay exponentially. |
| title | Exponential decay for fractional Schrödinger parabolic problems |
| topic | Analysis of PDEs 35J10, 35R11, 47D06, 35B35 |
| url | https://arxiv.org/abs/2404.16438 |