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arXiv · 2404.16438

Exponential decay for fractional Schr\"odinger parabolic problems

Jan W. Cholewa·Anibal Rodriguez-Bernal
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Abstract

We discuss exponential decay in $L^p(R^N)$, $1\leq p \leq \infty$, of solutions of a fractional Schr\"odinger 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.

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Jan W. Cholewa, Anibal Rodriguez-Bernal. 2024-04-25. Exponential decay for fractional Schr\"odinger parabolic problems. https://arxiv.org/abs/2404.16438

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