On the support of solutions to the Zakharov-Kuznetsov equation
Abstract
In this article we prove that sufficiently smooth solutions of the Zakharov-Kuznetsov equation: ∂u+∂x3u+∂∂y2u+u∂u=0, that have compact support for two different times are identically zero.
- Publication:
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Journal of Differential Equations
- Pub Date:
- 2011
- DOI:
- arXiv:
- arXiv:1008.2349
- Bibcode:
- 2011JDE...251.2728B
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35Q53 (primary);
- 37K05 (secondary)
- E-Print:
- Version of Dec 17/2010 contains simpler proof of Theorem 1.3 and new references are added