descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2007Embargo end date: 01 Jan 2006 English Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 244, pages 504-535 (issn: 0022-1236,

Authors: Escauriaza, L.; Kenig, C.E.; Ponce, G.; Vega, L.;

doi: 10.1016/j.jfa.2006.11.004 , 10.48550/arxiv.math/0601621

arXiv: math/0601621

On uniqueness properties of solutions of the k-generalized KdV equations

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Abstract

In this paper we study uniqueness properties of solutions of the k-generalized Korteweg-de Vries equation. Our goal is to obtain sufficient conditions on the behavior of the difference $u_1-u_2$ of two solutions $u_1, u_2$ of the equation at two different times $t_0=0$ and $t_1=1$ which guarantee that $u_1\equiv u_2$.

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University of California System
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University of California, Santa Barbara
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Department of Mathematics The University of Chicago
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University of California, San Francisco
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Keywords

uniqueness properties, Uniqueness properties, Carleman estimates, Decay assumptions, Mathematics - Analysis of PDEs, 35Q53, KdV equations (Korteweg-de Vries equations), FOS: Mathematics, decay assumptions, Initial value problems for nonlinear higher-order PDEs, Analysis, Analysis of PDEs (math.AP)

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