Regularly hyperbolic systems and Gevrey classes

DOI10.1007/BF01776846zbMath0583.35074OpenAlexW2038820423MaRDI QIDQ1070117

Enrico Jannelli

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01776846

zbMATH Keywords

Cauchy problemGevrey classregularly hyperbolicenergy inequalities

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for linear first-order PDEs (35F10) First-order hyperbolic systems (35L40) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (11)

Operators of \(p\)-evolution with nonregular coefficients in the time variable ⋮ Weakly hyperbolic systems with Hölder continuous coefficients ⋮ Hyperbolic operators with non-Lipschitz ceofficients ⋮ Well-posedness of low regularity solutions to the second order strictly hyperbolic equations with non-Lipschitzian coefficients ⋮ A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space ⋮ Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients. ⋮ Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients ⋮ A note on weakly hyperbolic equations with analytic principal part ⋮ Strictly hyperbolic equations with coefficients low-regular in time and smooth in space ⋮ Unnamed Item ⋮ On third order hyperbolic equations

Cites Work

• Hyperbolic systems with coefficients analytic in space variables
• Analyticity of solutions of hyperbolic systems with analytic coefficients
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