The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition

DOI10.1080/03605302.2012.668258zbMath1262.35146OpenAlexW2027130972MaRDI QIDQ5200536

Cesare Parenti, Enrico Bernardi, Alberto Parmeggiani

Publication date: 6 November 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2012.668258

zbMATH Keywords

Carleman estimatesweakly hyperbolic operator

Mathematics Subject Classification ID

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

Related Items (10)

The Cauchy-Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition ⋮ On hyperbolic equations with double characteristics in the presence of transition ⋮ Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition ⋮ On the Cauchy Problem for Hyperbolic Operators with Double Characteristics ⋮ The Cauchy-Neumann and Cauchy-Robin problems for a class of hyperbolic operators with double characteristics in presence of transition ⋮ The Cauchy problem for differential operators with double characteristics ⋮ Existence results for the mixed Cauchy-Dirichlet problem for a class of hyperbolic operators ⋮ A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition ⋮ On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case ⋮ Hyperbolic second order equations with non-regular time dependent coefficients

Cites Work

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• On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
• The Cauchy problem for effectively hyperbolic equations (a standard type)
• The Cauchy problem for differential equations with double characteristics
• Geometric results for a class of hyperbolic operators with double characteristics. II
• The Cauchy problem for effectively hyperbolic equations (general cases)
• On the Cauchy Problem for Hyperbolic Operators with Double Characteristics
• Geometric results for a class of hyperbolic operators with double characteristics

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