Cauchy problem for non-strictly hyperbolic systems
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Publication:1145826
DOI10.2977/prims/1195188183zbMath0446.35062OpenAlexW637548112MaRDI QIDQ1145826
Publication date: 1979
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195188183
Cauchy problemwell-posed problemnon-strictly hyperbolic systemscharacteristic roots of constant multiplicity
Higher-order hyperbolic systems (35L55) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for higher-order hyperbolic equations (35L30)
Related Items (12)
Unnamed Item ⋮ Conditions of hyperbolicity of linear differentiable systems with constant multiplicity ⋮ On the comparison of powers of differential operators (polynomials) ⋮ Simultaneous triangularization of pseudo-differential systems ⋮ Addition of Lower Order Terms to Weakly Hyperbolic Operators with Preservation of Their Type of Hyperbolicit ⋮ Uniqueness of the cauchy problem for elliptic operators with fourfold characteristics of constant multiplicity ⋮ Unnamed Item ⋮ Conditions of hyperbolicity of systems with constant multiplicity ⋮ Remarks on the Cauchy problem for first order hyperbolic systems with constant coefficient principal part ⋮ Microlocal Forms for Hyperbolic Systems ⋮ The Cauchy problem for hyperbolic systems with multiple characteristics ⋮ Necessary conditions for strong hyperbolicity of first order systems
Cites Work
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- Strongly hyperbolic systems with variable coefficients
- Opérateurs hyperboliques à caractéristiques de multiplicité constante
- The correctness of the Cauchy problem
- ON KOWALEWSKIAN SYSTEMS
- On the Cauchy problem for weakly hyperbolic systems
- Sur la condition de E. E. Levi concernant des équations hyperboliques
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