On the support of solutions to the Zakharov-Kuznetsov equation
Eddye Bustamante, Pedro Isaza, Jorge Mej\'ia
TL;DR
This paper proves that smooth solutions with compact support at two different times for the Zakharov-Kuznetsov equation must be identically zero, establishing a unique continuation property.
Contribution
It establishes a unique continuation result for the Zakharov-Kuznetsov equation, showing solutions with compact support at two times are trivial.
Findings
Solutions with compact support at two times are identically zero.
Supports the unique continuation property for the Zakharov-Kuznetsov equation.
Provides a mathematical foundation for understanding solution behavior.
Abstract
In this article we prove that sufficiently smooth solutions of the Zakharov-Kuznetsov equation that have compact support for two different times are identically zero.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.