On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\)

DOI10.1007/s11565-006-0029-yzbMath1138.35049OpenAlexW2371544016MaRDI QIDQ2465926

Tatsuo Nishitani

Publication date: 11 January 2008

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-006-0029-y

zbMATH Keywords

well-posednessGevrey classesdivergence free form

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10)

Related Items (1)

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness

Cites Work

• 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 \(C^\infty\)
• The Cauchy problem for hyperbolic operators of strong type
• Second order weakly hyperbolic operators with coefficients sum of powers of functions
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2
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