On the support of solutions to the Ostrovsky equation with negative dispersion

DOI10.1016/j.jde.2009.03.022zbMath1175.35125OpenAlexW2045589070MaRDI QIDQ842898

Pedro Isaza J., Jorge Mejía L.

Publication date: 28 September 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.022

zbMATH Keywords

nonlinear dispersive equationsOstrovsky equationestimates of Carleman type

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (11)

Convergence problem of Ostrovsky equation with rough data and random data ⋮ The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion ⋮ Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion ⋮ Properties of the support of solutions of a class of nonlinear evolution equations ⋮ On the solutions for an Ostrovsky type equation ⋮ On the support of solutions to the Ostrovsky equation with positive dispersion ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ White noise driven Ostrovsky equation ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion ⋮ Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space ⋮ The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

Cites Work

• On uniqueness properties of solutions of the \(k\)-generalized KdV equations
• Global Cauchy problem for the Ostrovsky equation
• Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
• Local well-posedness and quantitative ill-posedness for the Ostrovsky equation
• Semigroups of linear operators and applications to partial differential equations
• Unique continuation for some evolution equations
• On the support of solutions to the generalized KdV equation
• Unique Continuation for the Korteweg–de Vries Equation
• The Cauchy Problem for the Kadomtsev-Petviashvili (KPII) Equation in Three Space Dimensions
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