Dispersive smoothing effects for KdV type equations
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Publication:1358979
DOI10.1006/jdeq.1996.3245zbMath0874.35107OpenAlexW2074956429MaRDI QIDQ1358979
Publication date: 10 November 1997
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/a8dbeacdd9975bbe353ec41cfe6da1c002506625
nonlinear dispersive equationsrate of decay\(C^ \infty\) solutionsgain of smoothnessnonlinear equations of Korteweg-de Vries type
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (9)
Semibounded nonlinear evolution equations with application to the KdV equations ⋮ Correct initial boundary value problems for dispersive equations ⋮ Gain of regularity for the KP-I equation ⋮ Smoothing properties for a coupled system of nonlinear evolution dispersive equations ⋮ Smoothing properties of nonlinear dispersive equations in two spatial dimensions ⋮ Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients ⋮ Well-posedness of fully nonlinear KdV-type evolution equations ⋮ Shock waves and compactons for fifth-order non-linear dispersion equations ⋮ Large data local well-posedness for a class of KdV-type equations
Cites Work
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- Regularity of solutions to nonlinear dispersive equations
- Linear dispersive equations of Airy type
- Regularity of solutions to the Schrödinger equation
- On solutions on the initial value problem for the nonlinear Schrödinger equations
- Gain of regularity for equations of KdV type
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
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