Exact Controllability of linear KP-I equation

Chenmin Sun

Exact Controllability of linear KP-I equation

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arxiv 1802.10491 v1 pith:RV3N4QQE submitted 2018-02-28 math.AP

Chenmin Sun This is my paper · ORCID

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keywords equationlinearcontrollabilityexactkp-iaddedcontroldispersion

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We prove the exact controllability of linear KP-I equation if the control input is added on a vertical domain. More generally, we have obtained the least dispersion needed to insure observability for fractional linear KP I equation.

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The periodic KdV with control on space-time measurable sets
math.AP 2025-07 conditional novelty 8.0 of 10

Local exact controllability of the periodic KdV equation is proved with control supported on arbitrary measurable space-time sets of positive measure, via a new observability strategy for dispersive equations on tori.

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