Journal of Nonlinear Mathematical Physics

Volume 10, Issue 1, February 2003, Pages 10 - 15

On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation

Authors
Zhaoyang Yin
Corresponding Author
Zhaoyang Yin
Received 15 May 2002, Accepted 19 August 2002, Available Online 1 February 2003.
DOI
https://doi.org/10.2991/jnmp.2003.10.1.2How to use a DOI?
Abstract
We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show that the equation has solutions that exist for indefinite times as well as solutions which blowup in finite time. Furthermore, we derive an explosion criterion for the equation and we give a sharp estimate from below for the existence time of solutions with smooth initial data.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 1
Pages
10 - 15
Publication Date
2003/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2003.10.1.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Zhaoyang Yin
PY  - 2003
DA  - 2003/02
TI  - On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 10
EP  - 15
VL  - 10
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.1.2
DO  - https://doi.org/10.2991/jnmp.2003.10.1.2
ID  - Yin2003
ER  -