The well posedness of the dissipative Korteweg-de Vries equations with low regularity data

DOI10.1016/J.NA.2007.05.008zbMath1185.35227OpenAlexW2068002583MaRDI QIDQ929645

Jinsheng Han, Li Zhong Peng

Publication date: 18 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.05.008

zbMATH Keywords

well posednessBourgain type spacedissipative Korteweg de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Function spaces arising in harmonic analysis (42B35) PDEs of mixed type (35M10) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (2)

On the well-posedness of higher order viscous Burgers' equations ⋮ WELL-POSEDNESS FOR A FAMILY OF PERTURBATIONS OF THE KdV EQUATION IN PERIODIC SOBOLEV SPACES OF NEGATIVE ORDER

Cites Work

• Unnamed Item
• The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data.
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• On the Cauchy problem for the Zakharov system
• The Cauchy problem for dissipative Korteweg de Vries equations in Sobolev spaces of negative order
• A bilinear estimate with applications to the KdV equation

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