Author:
Jakubowski Tomasz,Szczypkowski Karol
Abstract
AbstractWe investigate whether a fundamental solution of the Schrödinger equation ∂tu = (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 conclusions for V in the Kato class.
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Analysis
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