Well-posedness of the Cauchy problem for Ostrovsky, Stepanyants and Tsimring equation with low regularity data

DOI10.1016/j.jmaa.2008.03.032zbMath1151.35088OpenAlexW1988971587MaRDI QIDQ929555

Xiangqing Zhao, Shang-bin Cui

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.032

zbMATH Keywords

well-posednessinitial-value problemOST equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

From anomalous to classical diffusion in a nonlinear heat equation ⋮ On low regularity of the Ostrovsky, Stepanyams and Tsimring equation ⋮ Well-posedness result for the Ostrovsky, Stepanyams and Tsimring equation at the critical regularity ⋮ WELL-POSEDNESS FOR A FAMILY OF PERTURBATIONS OF THE KdV EQUATION IN PERIODIC SOBOLEV SPACES OF NEGATIVE ORDER ⋮ On decay properties and asymptotic behavior of solutions to a non-local perturbed \textit{KdV} equation

Cites Work

• Radiation instability in a stratified shear flow
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• The Cauchy problem for a nonlocal perturbation of the KdV equation
• On the well-posedness for the generalized Ostrovsky, Stepanyants and Tsimring equation
• A bilinear estimate with applications to the KdV equation
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