Wave propagation in even-dimensional spaces

Research output: Contribution to journalArticle

Abstract

Asymptotic expansions of solutions of the wave equations in even dimensional spaces are obtained with the initial data of non-compact support. A relationship is proved between the vanishing order at the origin of the Fourier transform of the data and the decay rate of the corresponding solutions in semi-infinite cylinders or along rays inside the forward light cone.

Original languageEnglish
Pages (from-to)163-176
Number of pages14
JournalAsymptotic Analysis
Volume9
Issue number2
Publication statusPublished - 1994 Aug
Externally publishedYes

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Wave equations
Wave propagation
Wave Propagation
Cones
Fourier transforms
Decay Rate
Asymptotic Expansion
Half line
Wave equation
Fourier transform
Cone
Relationships

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Wave propagation in even-dimensional spaces. / Ozawa, Tohru.

In: Asymptotic Analysis, Vol. 9, No. 2, 08.1994, p. 163-176.

Research output: Contribution to journalArticle

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