On low regularity of the Ostrovsky, Stepanyams and Tsimring equation

DOI10.1016/J.JMAA.2011.01.021zbMath1223.35119OpenAlexW2044264776MaRDI QIDQ633675

Xiangqing Zhao

Publication date: 29 March 2011

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.2011.01.021

zbMATH Keywords

Fourier restriction norm methodHilbert transformation

Mathematics Subject Classification ID

Integro-partial differential equations (35R09) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

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 the sharp local well-posedness for the modified Ostrovsky, Stepanyams and Tsimring equation

Cites Work

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• Local well-posedness of the Ostrovsky, Stepanyams and Tsimring equation in Sobolev spaces of negative indices
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Interaction equations for short and long dispersive waves
• On the Cauchy problem for the Zakharov system
• The Cauchy problem for a nonlocal perturbation of the KdV equation
• On the low regularity of the Benney-Lin equation
• On the well-posedness for the generalized Ostrovsky, Stepanyants and Tsimring equation

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