Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation

Abstract

The integrable Novikov equation can be regarded as one of the Camassa-Holm-type equations with cubic nonlinearity. In this paper, we prove the global existence and uniqueness of the Hölder continuous energy conservative solutions for the Cauchy problem of the Novikov equation.

References in corpus (1)

• Unique Conservative Solutions to a Variational Wave Equation

Cited by in corpus (2)

• Ghostpeakons and Characteristic Curves for the Camassa-Holm, Degasperis-Procesi and Novikov Equations
• Lipschitz metric for the Novikov equation