Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices
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Publication:2385334
DOI10.1007/s10114-007-0959-zzbMath1128.35093OpenAlexW2378281200MaRDI QIDQ2385334
Donggao Deng, Hua Wang, Shang-bin Cui
Publication date: 12 October 2007
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-007-0959-z
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (32)
Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ On the Cauchy problem for the generalized Kawahara equation ⋮ Convergence problem of the Kawahara equation on the real line ⋮ Local well-posedness for the periodic higher order KdV type equations ⋮ Global controllability and stabilizability of Kawahara equation on a periodic domain ⋮ Global well-posedness and I method for the fifth order Korteweg-de Vries equation ⋮ Control of Kawahara equation with overdetermination condition: The unbounded cases ⋮ Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation ⋮ Unnamed Item ⋮ Lower bounds on the radius of spatial analyticity for the Kawahara equation ⋮ Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index ⋮ Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term ⋮ Ill-posedness of Kawahara equation and Kaup-Kupershmidt equation ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ On the initial-value problem for the Kawahara equation ⋮ The initial-boundary value problem for the Kawahara equation on the half-line ⋮ The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity ⋮ On Cauchy problem of the Benney-Lin equation with low regularity initial data ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space ⋮ Unconditional well-posedness for the Kawahara equation ⋮ Mixed problem for the Kawahara equation in a half-strip ⋮ On the initial-boundary-value problem in a half-strip for a generalized Kawahara equation ⋮ Modified KdV equation with higher order dispersion terms ⋮ Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation ⋮ Well-posedness issues on the periodic modified Kawahara equation ⋮ Low regularity solutions of two fifth-order KdV type equations ⋮ On the solutions for a Benney-Lin type equation ⋮ On the Cauchy problem for the strong dissipative fifth-order KdV equations ⋮ Initial-boundary value problem of fifth-order Korteweg-de Vries equation posed on half line with nonlinear boundary values ⋮ Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval ⋮ Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation
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