L∞ - L2 weighted estimate for the wave equation with potential

Vladimir Georgiev; Nicola Visciglia

L^∞ - L² weighted estimate for the wave equation with potential

Vladimir Georgiev, Nicola Visciglia

Graduate School of Advanced Science and Engineering

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We consider a potential type perturbation of the three dimensional wave equation and we establish a dispersive estimate for the associated propagator. The main estimate is proved under the assumption that the potential V≥ satisfies |V_(x)|≤^C/_(1+|x|)2+ε0.

Original language	English
Pages (from-to)	109-135
Number of pages	27
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	14
Issue number	2
Publication status	Published - 2003 Dec 1

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Keywords

Fredholm theory
Perturbed wave equation
Resolvent estimates
Spectral theory

ASJC Scopus subject areas

Mathematics(all)

Cite this

Georgiev, V., & Visciglia, N. (2003). L^∞ - L² weighted estimate for the wave equation with potential. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 14(2), 109-135.

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AU - Visciglia, Nicola

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KW - Spectral theory

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