Existence and regularity of solutions in nonlinear wave equations

DOI10.3934/dcds.2015.35.3327zbMath1332.35230arXiv1409.4402OpenAlexW2964271134MaRDI QIDQ2260729

Geng Chen, Yannan Shen

Publication date: 12 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4402

zbMATH Keywords

Hölder continuitylarge data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items (7)

Existence and uniqueness of global weak solutions of the Camassa-Holm equation with a forcing ⋮ Generic regularity and Lipschitz metric for the Hunter-Saxton type equations ⋮ Lipschitz metric for the Novikov equation ⋮ Degeneracy in finite time of 1D quasilinear wave equations. II ⋮ Existence and regularity for global weak solutions to the 𝜆-family water wave equations ⋮ Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation ⋮ Formation of singularities for a family of 1D quasilinear wave equations

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