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

2013/08/21 by Pedro Isaza, Isaza, Pedro
Mathematics · Physics and Astronomy · #35Q53 #37K05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP #msc:35Q53 #msc:37K05

paper · pdf · doi:10.48550/arxiv.1308.4739

Minor typos corrected on page 14

openalex publication_date 2013/08/21 · arxiv created 2013/09/03 · arxiv updated 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

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