On the support of solutions to the fifth-order Kadomtsev–Petviashvili II equation in three-dimensional space

DOI10.1080/00036811.2017.1392015zbMath1404.35104OpenAlexW2765123839MaRDI QIDQ4559417

Juanjuan Gao, Ying Fu

Publication date: 3 December 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1392015

zbMATH Keywords

compact supportunique continuation propertyCarleman type estimatesthe fifth-order \((3+1)\)-dimensional Kadomtsev-Petviashvili II equation

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

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• On the support of solutions to the Kadomtsev-Petviashvili (KP-II) equation
• On uniqueness properties of solutions of the \(k\)-generalized KdV equations
• Global well-posedness for the fifth order Kadomtsev-Petviashvili II equation in three dimensional space
• Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
• Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
• Unique continuation for some evolution equations
• The Cauchy problem for higher-order KP equations
• The Cauchy problem for the fifth order KP equations
• On the support of solutions to the generalized KdV equation
• A note on the unique continuation property for Zakharov--Kuznetsov equation
• Unique Continuation for the Korteweg–de Vries Equation

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