Exponential decay for fractional Schrödinger parabolic problems

2024/04/25 by Cholewa, Jan W., Rodriguez-Bernal, Anibal · 1 citation
#35B35 #35J10 #35R11 #47D06 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.16438

Abstract

We discuss exponential decay in L^p(R^N), 1≤ p ≤ ∞, 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≤ p ≤ ∞ is addressed. We characterise a large class of potentials for which solutions decay exponentially.

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• Evolution equation with fractional Schrödinger operators: monotonicity and exponential decay of solutions in Morrey spaces

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