Contributions to Books:
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",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2011,
ISBN: 978-3-902627-04-9,
1
- 22.
English abstract:
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.
Keywords:
Oscillatory integral, higher-order wave equation, fundamental solution
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2011/asc23x2011.pdf
Created from the Publication Database of the Vienna University of Technology.