Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation

zbMath0820.35097MaRDI QIDQ1332498

Piero D'Ancona

Publication date: 25 September 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__91__65_0

zbMATH Keywords

global well-posedness in \({\mathcal C}^ \infty\)Oleinik conditions

Mathematics Subject Classification ID

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

Related Items (max. 100)

Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Some well-posed Cauchy problem for second order hyperbolic equations with two independent variables ⋮ New trends in the theory of nonlinear weakly hyperbolic equations of second order ⋮ Degenerate hyperbolic equations with lower degree degeneracy

Cites Work

• Unnamed Item
• Unnamed Item
• A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables
• Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Geometric measure theory.
• The cauchy problem for weakly hyperbolic equations of second order

This page was built for publication: Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation