Estimates for a class of oscillatory integrals and decay rates for wave-type equations

This paper investigates higher order wave-type equations of the form ∂ttu+P(Dx)u=0, where the symbol P(ξ) is a real, non-degenerate elliptic polynomial of the order m≥4 on Rn. Using methods from harmonic analysis, we first establish global pointwise time–space estimates for a class of oscillatory in...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2012-10, Vol.394 (1), p.139-151
Hauptverfasser:	Arnold, Anton, Kim, JinMyong, Yao, Xiaohua
Format:	Artikel
Sprache:	eng
Schlagworte:	Fundamental solution estimate Higher-order wave equation Oscillatory integral
Online-Zugang:	Volltext
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