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

2006/01/25 by Luis Escauriaza, Escauriaza, Luis, Carlos E. Kenig +5 · 2 citations
Mathematics · Physics and Astronomy · #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #advanced mathematical theories #math.AP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.math/0601621

arxiv created 2006/01/25 · openalex publication_date 2006/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 u₁-u₂ of two solutions u₁, u₂ of the equation at two different times t₀=0 and t₁=1 which guarantee that u₁≡ u₂.

Citations

• On localization in the continuous Anderson-Bernoulli model in higher dimension

Cited by

• A theorem concerning Fourier transforms: A survey
• A note on the uniqueness properties of solutions for the Schrödinger-Korteweg de Vries system

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