\(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials (Q1671223)
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| Language | Label | Description | Also known as |
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| English | \(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials |
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\(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials (English)
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6 September 2018
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In this work, a fractional Schrödinger equation is considered. The authors obtain quantitative bounds of the solution for the equation with initial data. More precisely, they prove quantitative bounds of the heat kernel, a Gaussian upper bound and a quantitative \(L_1\)-\(L_{\infty}\) type estimate of the heat semigroup related to the problem by its smoothing effect.
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\(L^p\) estimates
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heat kernel estimates
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fractional Schrödinger equations
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