The Cauchy problem for the seventh-order dispersive equation in Sobolev space

DOI10.1186/1687-2770-2014-122zbMath1304.35219OpenAlexW2115034799WikidataQ59323641 ScholiaQ59323641MaRDI QIDQ476961

Yan Zheng, Hongjun Wang

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-122

zbMATH Keywords

Sobolev spaceslocal well-posednessFourier restriction norm method

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (1)

New existence theory of positive solutions to fourth order \(p\)-Laplacian elasticity problems

Cites Work

• Well-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity
• On the Cauchy problem for higher-order nonlinear dispersive equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Sharp well-posedness and ill-posedness of a higher-order modified Camassa-Holm equation.
• Rough solutions of the fifth-order KdV equations
• Higher-Order Nonlinear Dispersive Equations

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