On the Cauchy Problem for Hyperbolic Operators with Double Characteristics

DOI10.1080/03605300902892360zbMath1194.35232OpenAlexW2063044972MaRDI QIDQ3643216

Cesare Parenti, Alberto Parmeggiani

Publication date: 10 November 2009

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

Full work available at URL: https://doi.org/10.1080/03605300902892360

zbMATH Keywords

Ivrii-Petkov condition

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness ⋮ Inhomogeneous wave equation with \(t\)-dependent singular coefficients ⋮ On the Cauchy Problem for Hyperbolic Operators with Double Characteristics ⋮ The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition ⋮ On the wave equation with multiplicities and space-dependent irregular coefficients ⋮ Hyperbolic second order equations with non-regular time dependent coefficients

Cites Work

• The Cauchy problem for effectively hyperbolic equations (a standard type)
• The Cauchy problem for differential equations with double characteristics

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