Second order weakly hyperbolic operators with coefficients sum of powers of functions

zbMath1124.35045MaRDI QIDQ2372377

Tatsuo Nishitani, Ferruccio Colombini

Publication date: 26 July 2007

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1174324326

zbMATH Keywords

Gevrey solutions

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness, On the Cauchy problem for Dt2 − Dx(b(t)a(x))Dx, On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\), On hyperbolicity and Gevrey well-posedness. Part three: a model of weakly hyperbolic systems

Cites Work

• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Sommes de carrés de fonctions dérivables
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2
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