[Zurück]

A. Arnold, J. Kim, X. Yao:
"Estimates for a class of oscillatory integrals and decay rates for wave-type equations";
in: "ASC Report 23/2011", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9, S. 1 - 22.

In this paper we first establish global pointwise time-space estimates
for a class of oscillatory integrals. Then, we use them to establish
Lp −Lq estimates for a class of 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 Rn.

Oscillatory integral, higher-order wave equation, fundamental solution

http://www.asc.tuwien.ac.at/preprint/2011/asc23x2011.pdf