Necessary conditions for strong hyperbolicity of first order systems

Waichiro Matsumoto; Hideo Yamahara

Journées équations aux dérivées partielles (1989)

  • page 1-16
  • ISSN: 0752-0360

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Matsumoto, Waichiro, and Yamahara, Hideo. "Necessary conditions for strong hyperbolicity of first order systems." Journées équations aux dérivées partielles (1989): 1-16. <http://eudml.org/doc/93203>.

@article{Matsumoto1989,
author = {Matsumoto, Waichiro, Yamahara, Hideo},
journal = {Journées équations aux dérivées partielles},
keywords = {strong hyperbolicity; projection; generalized eigenspace},
language = {eng},
pages = {1-16},
publisher = {Ecole polytechnique},
title = {Necessary conditions for strong hyperbolicity of first order systems},
url = {http://eudml.org/doc/93203},
year = {1989},
}

TY - JOUR
AU - Matsumoto, Waichiro
AU - Yamahara, Hideo
TI - Necessary conditions for strong hyperbolicity of first order systems
JO - Journées équations aux dérivées partielles
PY - 1989
PB - Ecole polytechnique
SP - 1
EP - 16
LA - eng
KW - strong hyperbolicity; projection; generalized eigenspace
UR - http://eudml.org/doc/93203
ER -

References

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  3. 3. V. Ya. Ivrii and V.M. PetkovNecessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed, Russ. Math. Surveys, 29 (1974) 1-70. Zbl0312.35049
  4. 4. N. IwasakiThe Cauchy problem for effectively hyperbolic equations, (a special case), J. Math. Kyoto Univ., 23 (1983) 503-562. Zbl0546.35037MR85d:35067
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  9. 9. W. MatsumotoLevi condition for first order systems with characteristics of constant multiplicity, II, (in preparation). 
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  12. 12. T. NishitaniStrong hyperbolic systems with transverse propagation cone, (to appear in Note of J. Vaillant Seminar). 
  13. 13. O.A. OleinikOn the Cauchy problem for weakly hyperbolic equations, Comm. Pure Appl. Math., 23 (1970) 569-586. MR41 #8823
  14. 14. H. YamaharaOn the strong hyperbolic systems, J. Math. Kyoto Univ., 27 (1987) 259-273. Zbl0658.35059MR88j:35104
  15. 15. H. YamaharaOn the strong hyperbolic systems, II, (to appear in J. Math. Kyoto Univ.). 
  16. 16. M.D. BronshteinSmoothness of roots of polynomials depending on parameters, Siberian J. Math., 20 (1979). Zbl0429.30007MR82c:26018
  17. 17. T. MandaiSmoothness of roots of hyperbolic polynomials with respect to one-dimensional parameter, Bull. Fac. Gen. Ed. Gifu Univ., 21 (1985) 115-118. MR87h:58213
  18. 18. V.M. PetkovMicrolocal forms for hyperbolic systems, Math. Nachr., 93 (1979) 117-131. Zbl0433.35045MR81k:35168
  19. 19. W. MatsumotoConditions for strong hyperbolicity of first order systems. 

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