Some results on the well-posedness for second order linear equations

zbMath1183.35188MaRDI QIDQ1043686

Marcello D'Abbicco

Publication date: 9 December 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1256564204

zbMATH Keywords

Cauchy problemwell-posednessglobal well-posednesssecond-order hyperbolic equations

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

A sufficient condition for well-posedness for systems with time-dependent coefficients

Cites Work

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• A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables
• On the Cauchy problem for \(2\times 2\) weakly hyperbolic systems
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• Well-posedness in \(C^\infty\) for some weakly hyperbolic equations
• Racine carrée d'une fonction différentiable
• HOMOGENEOUS HYPERBOLIC EQUATIONS WITH COEFFICIENTS DEPENDING ON ONE SPACE VARIABLE
• The cauchy problem for weakly hyperbolic equations of second order
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED

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