Coefficients with unbounded derivatives in hyperbolic equations

DOI10.1002/MANA.200310210zbMath1060.35071OpenAlexW2020281327MaRDI QIDQ3157025

Massimo Cicognani

Publication date: 12 January 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310210

zbMATH Keywords

Gevrey well-posedness\(H^\infty\) well-posednesssharp regularity of the coefficientsnon-regular coefficientsquasilinear hyperbolic operators of higher order

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (6)

Strictly hyperbolic Cauchy problems on \(\mathbb{R}^n\) with unbounded and singular coefficients ⋮ Unnamed Item ⋮ Well posedness under Levi conditions for a degenerate second order Cauchy problem ⋮ A degenerate hyperbolic equation under Levi conditions ⋮ Global well-posedness of a class of strictly hyperbolic Cauchy problems with coefficients non-absolutely continuous in time ⋮ Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time

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