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arxiv: 1308.4739 · v2 · pith:G2HH26E7new · submitted 2013-08-21 · 🧮 math.AP

Unique continuation principle for high order equations of Korteweg-de Vries type

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keywords continuationequationshighkorteweg-deordertypeuniquevries
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In this article we consider the problem of unique continuation for a class of high order equations of Korteweg-de Vries type which include the kdV hierachy. It is proved that if the difference w of two solutions of an equation of this form has certain exponential decay for x>0 at two different times, then w is identically zero.

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