Dispersion Decay for Schrödinger and Klein-Gordon Equations with a Delta-function Potential

E.A. Kopylova

2026, v.32, Issue 1, 107-120

ABSTRACT

We prove a dispersive decay in weighted norms for solutions to 1D Schrödinger and Klein-Gordon equations with a δ-function potential.

doi:10.61102/1024-2953-mprf.2026.32.1.005

Keywords: Schrödinger equation, Klein-Gordon equation, delta-function potential, dispersion decay, resolvent, spectral representation, weighted spaces

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
The journal is published quaterly

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E.A. Kopylova