Note on strongly hyperbolic systems with involutive characteristics

DOI10.1215/21562261-2017-0029zbMath1415.35180OpenAlexW2794036776MaRDI QIDQ1797227

Tatsuo Nishitani, Guy Metivier

Publication date: 19 October 2018

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1520240411

zbMATH Keywords

\(L^{2}\) well-posedtransversally strictly hyperbolicuniformly diagonalizable

Mathematics Subject Classification ID

Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for systems of linear first-order PDEs (35F40)

Related Items (1)

Transversally strictly hyperbolic systems

Cites Work

• \(L^2\) well-posed Cauchy problems and symmetrizability of first order systems
• Asymptotic solutions of oscillatory initial value problems
• Strongly hyperbolic systems of maximal rank
• Necessary conditions for strong hyperbolicity of first order systems
• Hyperbolic boundary value problems for symmetric systems with variable multiplicities
• Necessary and insufficient conditions for well-posed Cauchy problems
• On strong hyperbolicity
• Strongly hyperbolic systems of linear partial differential equations with constant coefficients
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Fourier integral operators
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