Time decay for Schroedinger equation with rough potentials
Shijun Zheng
TL;DR
This paper establishes time decay and regularity estimates for the 3D Schrödinger equation with rough potentials in the Kato class, utilizing Besov spaces linked to Schrödinger operators.
Contribution
It introduces new decay and regularity estimates for Schrödinger equations with rough potentials using Besov spaces associated with the operators.
Findings
Derived time decay estimates for Schrödinger equations with rough potentials.
Established regularity results in Besov spaces for solutions.
Extended analysis to potentials in the Kato class.
Abstract
We obtain certain time decay and regularity estimates for 3D Schroedinger equation with a potential in the Kato class by using Besov spaces associated with Schroedinger operators.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods · advanced mathematical theories