L - L2 weighted estimate for the wave equation with potential

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)109-135
Number of pages27
JournalAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
Volume14
Issue number2
Publication statusPublished - 2003
Externally publishedYes

Fingerprint

Dispersive Estimates
Weighted Estimates
Propagator
Wave equation
Perturbation
Three-dimensional
Estimate

Keywords

  • Fredholm theory
  • Perturbed wave equation
  • Resolvent estimates
  • Spectral theory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "L∞ - L2 weighted estimate for the wave equation with potential",
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.",
keywords = "Fredholm theory, Perturbed wave equation, Resolvent estimates, Spectral theory",
author = "Gueorguiev, {Vladimir Simeonov} and Nicola Visciglia",
year = "2003",
language = "English",
volume = "14",
pages = "109--135",
journal = "Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni",
issn = "1120-6330",
publisher = "European Mathematical Society Publishing House",
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TY - JOUR

T1 - L∞ - L2 weighted estimate for the wave equation with potential

AU - Gueorguiev, Vladimir Simeonov

AU - Visciglia, Nicola

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - Fredholm theory

KW - Perturbed wave equation

KW - Resolvent estimates

KW - Spectral theory

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M3 - Article

VL - 14

SP - 109

EP - 135

JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

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