Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space
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Publication:4689882
DOI10.1080/00036811.2017.1385064zbMath1454.35330OpenAlexW2760888330WikidataQ58178812 ScholiaQ58178812MaRDI QIDQ4689882
Zai-Yun Zhang, Zhen-Hai Liu, Song-Hua Li, Ming-Bao Sun
Publication date: 22 October 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1385064
well-posednessFourier restriction norm methodlow regularitygeneralized Kawahara equationunique continuation property (UCP)
KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Continuation and prolongation of solutions to PDEs (35B60)
Related Items (12)
Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method ⋮ Initial-boundary value problems on a half-strip for the generalized Kawahara-Zakharov-Kuznetsov equation ⋮ Properties of the support of solutions of a class of nonlinear evolution equations ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping ⋮ Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation ⋮ Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity ⋮ On the solutions for a Benney-Lin type equation ⋮ Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space ⋮ Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation
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