On the support of solutions to the Zakharov-Kuznetsov equation (Q640040)
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| Language | Label | Description | Also known as |
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| English | On the support of solutions to the Zakharov-Kuznetsov equation |
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On the support of solutions to the Zakharov-Kuznetsov equation (English)
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12 October 2011
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The Zakharov-Kuznetsov equation \(u_t+u_{xxx}+u_{xyy}+uu_x=0\) is considered. It is proven that any sufficiently smooth solution with compact support at two different times is identically zero. Estimates of the Carleman type are employed in the proof.
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Zakharov-Kuznetsov equation
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bidimensional generalization of the Korteweg-de Vries equation
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dispersive-dissipative equations
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Carleman-type estimates
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