The Cauchy problem for the modified Novikov equation

DOI10.1186/s13661-014-0171-xzbMath1304.35216OpenAlexW2166776240WikidataQ59323256 ScholiaQ59323256MaRDI QIDQ481532

Yan Zheng, Xue-Ping Hou

Publication date: 12 December 2014

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

Full work available at URL: https://doi.org/10.1186/s13661-014-0171-x

zbMATH Keywords

local well-posednessLittlewood-Paley decompositiontransport equation theorynonhomogeneous Besov spacesOsgood lemma

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

• The Cauchy problem for the integrable Novikov equation
• Well-posedness and ill-posedness of KdV equation with higher dispersion
• Well-posedness and persistence properties for the Novikov equation
• Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation
• A note on well-posedness for Camassa-Holm equation.
• A few remarks on the Camassa-Holm equation.
• Global weak solutions to the Novikov equation
• The Cauchy problem for the generalized Camassa-Holm equation in Besov space
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• A note on the Cauchy problem of the Novikov equation
• The Cauchy problem for the generalized Camassa-Holm equation
• Global weak solutions for the Novikov equation
• Generalizations of the Camassa–Holm equation
• The Cauchy problem for the Novikov equation

This page was built for publication: The Cauchy problem for the modified Novikov equation