Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem

DOI10.1016/j.jde.2005.06.019zbMath1097.35092OpenAlexW1994780266MaRDI QIDQ818434

Massimo Cicognani, Ferruccio Colombini

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.06.019

zbMATH Keywords

log-Lipschitz continuityLevi condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Local uniqueness in the Cauchy problem for second order elliptic equations with non-Lipschitzian coefficients
• Operators of \(p\)-evolution with nonregular coefficients in the time variable
• Hyperbolic operators with non-Lipschitz ceofficients
• On the convergence of solutions of hyperbolic equations
• The Cauchy problem for a class of Kovalevskian pseudo-differential operators
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