Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel

We investigate whether a fundamental solution of the Schrödinger equation ∂ t u = (Δ + V ) u has local in time sharp Gaussian estimates. We compare that class with the class of V for which local in time plain Gaussian estimates hold. We concentrate on V that have fixed sign and we present certain co...

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Veröffentlicht in:	Journal d'analyse mathématique (Jerusalem) 2024-04, Vol.152 (1), p.255-282
Hauptverfasser:	Jakubowski, Tomasz, Szczypkowski, Karol
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Analysis Dynamical Systems and Ergodic Theory Estimates Functional Analysis Mathematics Mathematics and Statistics Partial Differential Equations Schrodinger equation
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