The Cauchy problem for Davey-Stewartson systems
โ Scribed by Boling Guo; Baoxiang Wang
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 131 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
The Cauchy problem of the Davey-Stewartson II equations is solved by the method of an inverse scattering transform. Results of existence and uniqueness of global solutions, regularity, spatial, and long time decay are obtained. (C) 1994 Academic Press, Inc.
## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d