Low regularity well-posedness for the periodic Kawahara equation.

zbMath1274.35359arXiv1203.2275MaRDI QIDQ1941790

Takamori Kato

Publication date: 21 March 2013

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

Full work available at URL: https://arxiv.org/abs/1203.2275

zbMATH Keywords

well-posednesscritical exponentKawahara equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (14)

Global well-posedness and nonsqueezing property for the higher-order KdV-type flow ⋮ Convergence problem of the Kawahara equation on the real line ⋮ On the control issues for higher-order nonlinear dispersive equations on the circle ⋮ On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation ⋮ Global controllability and stabilizability of Kawahara equation on a periodic domain ⋮ Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping ⋮ Boundary smoothing properties of the Kawahara equation posed on the finite domain ⋮ Orbital stability of periodic traveling wave solutions for the Kawahara equation ⋮ The Cauchy problem for higher-order modified Camassa-Holm equations on the circle ⋮ Orbital stability of periodic traveling-wave solutions for a dispersive equation ⋮ Well-posedness issues on the periodic modified Kawahara equation ⋮ Internal controllability of the Kawahara equation on a bounded domain ⋮ Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval ⋮ Two stability results for the Kawahara equation with a time-delayed boundary control

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