The initial value problem for some hyperbolic-dispersive system

Shuichi Kawashima; Chi Kun Lin; Jun Ichi Segata

doi:10.1002/mma.1542

The initial value problem for some hyperbolic-dispersive system

Shuichi Kawashima, Chi Kun Lin, Jun Ichi Segata

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	125-133
Number of pages	9
Journal	Mathematical Methods in the Applied Sciences
Volume	35
Issue number	2
DOIs	https://doi.org/10.1002/mma.1542
Publication status	Published - Jan 30 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)

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title = "The initial value problem for some hyperbolic-dispersive system",

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.",

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The initial value problem for some hyperbolic-dispersive system

Abstract

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