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arxiv: 1711.09359 · v2 · pith:A6LDMFBV · submitted 2017-11-26 · math.AP · math.OC

Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation

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classification math.AP math.OC
keywords controllabilityequationinternalstripadditionallyanalysiscontrolhilbert
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The internal control problem for the Kadomstev-Petviashvili II equation, known as KP-II, is the object of study in this paper. The controllability in $L^2(T)$ from vertical strip is proved using the Hilbert Unique Method through the techniques of semiclassical and microlocal analysis. Additionally, a negative result for the controllability in $L^2(T)$ from horizontal strip is also showed.

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