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arxiv: 1804.01596 · v1 · pith:M5THGIG3new · submitted 2018-04-04 · 🧮 math.AP

Uniqueness results for Zakharov-Kuznetsov equation

classification 🧮 math.AP
keywords equationsolutionsuniquenesszakharov-kuznetsovdecaysdistinctenoughequiv
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In this paper we study uniqueness properties of solutions to the Zakharov-Kuznetsov equation of plasma physic. Given two sufficiently regular solutions $u_1, u_2,$ we prove that, if $u_1-u_2$ decays fast enough at two distinct times, then $u_1\equiv u_2.$

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