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Asymptotic expansions for oscillatory integrals using inverse functions

โœ Scribed by James N. Lyness; James W. Lottes


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
427 KB
Volume
49
Category
Article
ISSN
0006-3835

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Oscillatory asymptotic expansion for sem
โœ Stefania Di Pomponio ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB

## Abstract We study oscillatory properties of the solution to semilinear wave equation, assuming oscillatory terms in initial data have sufficiently small amplitude. The main result gives an a priori estimate of the remainder in the approximation by means of the method of __geometric optics__. The