On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in \(t\) and degenerate in \(t=T\)

zbMath0927.35055MaRDI QIDQ1284626

Tamotu Kinoshita

Publication date: 13 December 1999

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_1998__100__81_0

zbMATH Keywords

Levi conditionsorder of degeneration

Mathematics Subject Classification ID

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

Related Items (2)

On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. ⋮ On the Cauchy problem for finitely degenerate hyperbolic equations of second order

Cites Work

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• Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type
• Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
• On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic systems with Hölder continuous coefficients in time
• On the index of the group generated by relative units
• Local existence for semilinear weakly hyperbolic equations with time dependent coefficients
• Levi Conditions and Global Gevrey Regularity for the Solutions of Quasilinear Weakly Hyperbolic Equations
• Energy inequality for non strictly hyperbolic operators in the Gevrey class

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