Carleman estimates and unique continuation property for \(n\)-dimensional Benjamin-Bona-Mahony equations

DOI10.1216/jie.2021.33.443zbMath1491.35090OpenAlexW4226455502MaRDI QIDQ2146567

Amin Esfahani, Youcef Mammeri

Publication date: 16 June 2022

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2021.33.443

zbMATH Keywords

Carleman estimatesTreves' inequality\(N\)-dimensional BBM equationsunique continuation property (UCP)

Mathematics Subject Classification ID

Controllability (93B05) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

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• Sharp well-posedness results for the BBM equation
• Unique continuation for some evolution equations
• Unique continuation for the Benjamin-Bona-Mahony and Boussinesq's equations
• Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential
• Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain
• Remarks on a two dimensional BBM type equation
• Uniqueness in Cauchy problems for differential equations with constant leading coefficients
• Carleman estimates and unique continuation property for the Kadomtsev–Petviashvili equations
• Model equations for long waves in nonlinear dispersive systems

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