Global solution of the Cauchy problem for a class of abstract nonlinear hyperbolic equations

DOI10.1007/BF01762786zbMath0683.35053OpenAlexW2082507588MaRDI QIDQ1824766

Piero D'Ancona

Publication date: 1988

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/bf01762786

zbMATH Keywords

Cauchy problemglobal well posedness

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type

Cites Work

• Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
• A note on a theorem of Nirenberg
• Global existence for abstract evolution equations of weakly hyperbolic type
• Infinite systems of nonlinear oscillation equations
• On classical solutions of a quasilinear hyperbolic equation
• On local strong solutions of a nonlinear partial differential equation
• Infinite Systems of Nonlinear Oscillation Equations Related to the String
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