On the Cauchy problem for Dt2 − Dx(b(t)a(x))Dx

DOI10.1142/S0219891620500034zbMath1446.35067arXiv1712.05253OpenAlexW3035209465MaRDI QIDQ5119534

Ferruccio Colombini, Tatsuo Nishitani

Publication date: 28 August 2020

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05253

zbMATH Keywords

Cauchy problemwell-posednessGevrey classesWeyl-Hörmander calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Characterization of pseudodifferential operator and application
• On the Gevrey strong hyperbolicity
• Second order weakly hyperbolic operators with coefficients sum of powers of functions
• Cauchy problem for differential operators with double characteristics. Non-effectively hyperbolic characteristics
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2

This page was built for publication: On the Cauchy problem for Dt2 − Dx(b(t)a(x))Dx