Work

Sharp Gaussian upper bounds for Schrödinger semigroups on the half-line

Year: 2024

Type: article

Abstract: In 1998, V. Liskevich and Y. Semenov proved sharp Gaussian upper bounds for Schrödinger semigroups on $$\mathbb {R}^3$$ R 3 with potentials satisfying a global Kato class condition. Using similar basic ideas we show sharp Gaussian upper bounds for Schrödinger semigroups on the half-line, also assuming a suitable global Kato class condition. Our proof strategy includes a new technique of weighted ultracontractivity estimates.

Source: Positivity

DOI: 10.1007/s11117-024-01087-8

Authors: Paul Holst, Hendrik Vogt

Institutions: Universität Hamburg, University of Bremen

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Deutsche Forschungsgemeinschaft, Universität Hamburg