Critical exponent for wave equation with potential

Vladimir Simeonov Gueorguiev, Charlotte Heiming, Hideo Kubo

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We establish a weighted L estimate for the solution of the linear wave equation with a smooth positive potential depending only on space variables. This estimate is similar to F.John's estimates in ([9]) and enables one to prove existence of global small data solution for the corresponding semilinear wave equation with potential.

Original languageEnglish
Pages (from-to)103-127
Number of pages25
JournalRendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume31
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

Critical Exponents
Wave equation
Estimate
Semilinear Wave Equation
Linear equation

Keywords

  • Decay estimates
  • Global solution
  • Semilinear equation
  • Wave equation
  • Wave equation with potential

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Critical exponent for wave equation with potential. / Gueorguiev, Vladimir Simeonov; Heiming, Charlotte; Kubo, Hideo.

In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, Vol. 31, 01.01.2000, p. 103-127.

Research output: Contribution to journalArticle

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