Some well-posed Cauchy problem for second order hyperbolic equations with two independent variables

zbMath1244.35082MaRDI QIDQ645089

Ludovico Pernazza, Ferruccio Colombini, Tatsuo Nishitani, Nicola Orrù

Publication date: 8 November 2011

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1317044940

zbMATH Keywords

Cauchy problemhyperbolic equation\(C^\infty\) well posedness

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 second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Cites Work

• Unnamed Item
• A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Gevrey well-posedness for a class of weakly hyperbolic equations
• Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation
• On the Cauchy problem for finitely degenerate hyperbolic equations of second order
• On finitely degenerate hyperbolic operators of second order
• Hyperbolic equations with non-analytic coefficients
• The cauchy problem for weakly hyperbolic equations of second order
• On the structure of the centralizer of a braid
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2

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