L - L2 weighted estimate for the wave equation with potential

Vladimir Georgiev, Nicola Visciglia

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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 Dec 1

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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