The initial value problem for some hyperbolic-dispersive system

Title:	The initial value problem for some hyperbolic-dispersive system
Authors:	Kawashima, Shuichi Lin, Chi-Kun Segata, Jun-ichi 應用數學系數學建模與科學計算所(含中心) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
Keywords:	hyperbolic and dispersive system;smoothing effect
Issue Date:	30-Jan-2012
Abstract:	We consider the initial value problem for some nonlinear hyperbolic-dispersive systems in one space dimension. Combining the classical energy method and the smoothing estimates for the Airy equation, we guarantee the time local well-posedness for this system. We also discuss the extension of our results to more general hyperbolic-dispersive system. Copyright (C) 2011 John Wiley & Sons, Ltd.
URI:	http://dx.doi.org/10.1002/mma.1542 http://hdl.handle.net/11536/15249
ISSN:	0170-4214
DOI:	10.1002/mma.1542
Journal:	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume:	35
Issue:	2
Begin Page:	125
End Page:	133
Appears in Collections:	Articles

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