Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems

Pseudo-Differential Operators and Related Topics - Operator Theory: Advances and Applications ◽

10.1007/3-7643-7514-0_4 ◽

2006 ◽

pp. 53-63 ◽

Author(s):

Ilia Kamotski ◽

Michael Ruzhansky

Keyword(s):

Hyperbolic Systems ◽

Regularity Properties ◽

Representation Of Solutions ◽

Weakly Hyperbolic Systems

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The Cauchy problem for weakly hyperbolic systems

Communications in Partial Differential Equations ◽

10.1080/03605302.2017.1399906 ◽

2017 ◽

Vol 43 (1) ◽

pp. 25-46

Author(s):

F. Colombini ◽

Guy Métivier

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

The Cauchy Problem ◽

Weakly Hyperbolic Systems

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On the Cauchy problem for weakly hyperbolic systems

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195190726 ◽

1976 ◽

Vol 12 (2) ◽

pp. 493-512 ◽

Author(s):

Hideo Yamahara

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

The Cauchy Problem ◽

Weakly Hyperbolic Systems

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On the Cauchy problem for weakly hyperbolic systems

Proceedings of the Japan Academy ◽

10.3792/pja/1195518343 ◽

1976 ◽

Vol 52 (4) ◽

pp. 167-170

Author(s):

Hideo Yamahara

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

The Cauchy Problem ◽

Weakly Hyperbolic Systems

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Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities

Communications in Partial Differential Equations ◽

10.1080/03605300600856816 ◽

2007 ◽

Vol 32 (1) ◽

pp. 1-35 ◽

Author(s):

Ilia Kamotski ◽

Michael Ruzhansky

Keyword(s):

Spectral Asymptotics ◽

Regularity Properties ◽

Representation Of Solutions

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FIO-product representation of solutions to symmetrizable hyperbolic systems

PAMM ◽

10.1002/pamm.200700905 ◽

2007 ◽

Vol 7 (1) ◽

pp. 1130103-1130104 ◽

Author(s):

JÃ©rÃ´me Le Rousseau

Keyword(s):

Hyperbolic Systems ◽

Product Representation ◽

Representation Of Solutions

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Global Cauchy problems on Rn for weakly hyperbolic systems with coefficients admitting superlinear growth for |x| → ∞

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2016.01.002 ◽

2019 ◽

Vol 150 ◽

pp. 35-61

Author(s):

Daniel Gourdin ◽

Todor Gramchev

Keyword(s):

Hyperbolic Systems ◽

Cauchy Problems ◽

Superlinear Growth ◽

Weakly Hyperbolic Systems

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Fourier-integral-operator product representation of solutions to first-order symmetrizable hyperbolic systems

Journal d Analyse Mathématique ◽

10.1007/s11854-009-0029-9 ◽

2009 ◽

Vol 109 (1) ◽

pp. 81-162

Author(s):

Jérôme Le Rousseau

Keyword(s):

Integral Operator ◽

Fourier Integral Operator ◽

Hyperbolic Systems ◽

Fourier Integral ◽

Operator Product ◽

Product Representation ◽

First Order ◽

Representation Of Solutions

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On hyperbolicity and Gevrey well-posedness. Part three: a model of weakly hyperbolic systems

Indiana University Mathematics Journal ◽

10.1512/iumj.2021.70.8198 ◽

2021 ◽

Vol 70 (2) ◽

pp. 743-780

Author(s):

Baptiste Morisse

Keyword(s):

Hyperbolic Systems ◽

Well Posedness ◽

Weakly Hyperbolic Systems

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On the Cauchy Problem with small analytic data for nonlinear weakly hyperbolic systems

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496163249 ◽

1997 ◽

Vol 21 (2) ◽

pp. 397-420 ◽

Author(s):

Tamotu Kinoshita

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

The Cauchy Problem ◽

Weakly Hyperbolic Systems

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The Cauchy problem for weakly hyperbolic systems of linear differential equations with constant coefficients

Časopis pro pěstování matematiky ◽

10.21136/cpm.1966.117584 ◽

1966 ◽

Vol 091 (4) ◽

pp. 431-452

Author(s):

Jiří Kopáček ◽

Marie Suchá

Keyword(s):

Cauchy Problem ◽

Differential Equations ◽

Hyperbolic Systems ◽

Linear Differential Equations ◽

The Cauchy Problem ◽

Constant Coefficients ◽

Linear Differential ◽

Weakly Hyperbolic Systems

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