The Cauchy problem for a two-component Novikov equation in the critical Besov space

DOI10.1016/j.jmaa.2014.09.032zbMath1312.35041OpenAlexW2012437836MaRDI QIDQ465385

Zheng-Rong Liu, Hao Tang

Publication date: 31 October 2014

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.2014.09.032

zbMATH Keywords

Cauchy problemBesov spaceslocal well-posednessOsgood lemmatwo-component Novikov equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Related Items (11)

Smooth multisoliton solutions of a 2-component peakon system with cubic nonlinearity ⋮ On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law ⋮ On the Cauchy problem for the two-component Novikov system with peakons ⋮ Continuity properties of the solution map for the four-component Novikov system with peakon solutions ⋮ On the Cauchy problem for a four‐component Novikov system with peaked solutions ⋮ The periodic boundary value problem for a quasilinear evolution equation in Besov spaces ⋮ A note on the generalized Camassa-Holm equation ⋮ A new generalised two-component Camassa-Holm type system with waltzing peakons and wave breaking ⋮ On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation ⋮ A note on the Cauchy problem for the two-component Novikov system ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cauchy problem for the integrable Novikov equation
• Blow-up, global existence and persistence properties for the coupled Camassa-Holm equations
• On bi-Hamiltonian structure of two-component Novikov equation
• Well-posedness and persistence properties for the Novikov equation
• Blow-up phenomenon for the integrable Novikov equation
• On an integrable two-component Camassa-Holm shallow water system
• Wave breaking for a modified two-component Camassa-Holm system
• On the Cauchy problem for a two-component Degasperis-Procesi system
• On well-posedness of the Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• A note on well-posedness for Camassa-Holm equation.
• On the Cauchy problem for an integrable equation with peakon solutions
• A few remarks on the Camassa-Holm equation.
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• A note on the Cauchy problem of the Novikov equation
• Fourier Analysis and Nonlinear Partial Differential Equations
• An extension of integrable peakon equations with cubic nonlinearity
• Integrable peakon equations with cubic nonlinearity
• On Solutions to a Two-Component Generalized Camassa-Holm Equation
• Generalizations of the Camassa–Holm equation
• Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS

This page was built for publication: The Cauchy problem for a two-component Novikov equation in the critical Besov space