Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity

Piero D'Ancona; Sergio Spagnolo

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 1, page 169-185
  • ISSN: 0392-4041

How to cite

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D'Ancona, Piero, and Spagnolo, Sergio. "Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity." Bollettino dell'Unione Matematica Italiana 1-B.1 (1998): 169-185. <http://eudml.org/doc/195956>.

@article{DAncona1998,
author = {D'Ancona, Piero, Spagnolo, Sergio},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Sylvester systems; Gevrey solutions},
language = {eng},
month = {2},
number = {1},
pages = {169-185},
publisher = {Unione Matematica Italiana},
title = {Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity},
url = {http://eudml.org/doc/195956},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - D'Ancona, Piero
AU - Spagnolo, Sergio
TI - Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/2//
PB - Unione Matematica Italiana
VL - 1-B
IS - 1
SP - 169
EP - 185
LA - eng
KW - Sylvester systems; Gevrey solutions
UR - http://eudml.org/doc/195956
ER -

References

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  1. ALINHAC, S., MÉTIVIER, G., Propagation de l'analyticité des solutions des systèmes hyperboliques nonlineaires, Inv. Math., 75 (1984), 189-203. Zbl0545.35063MR732545
  2. BRONSTEIN, M. D., The Cauchy problem for hyperbolic operators with characteristics of variable multiplicity, Trudy Moscow Math. Soc., 41 (1980), 87-103. Zbl0484.35056MR611140
  3. D'ANCONA, P., SPAGNOLO, S., Small analytic solutions to nonlinear weakly hyperbolic systems, Ann. Sc. Norm. Pisa, 22 (1995), 469-491. Zbl0858.35079MR1360546
  4. JANNELLI, E., Linear Kovalewskian systems with time dependent coefficients, Comm. P.D.E., 9 (1984), 1373-1406. Zbl0559.35011MR765965
  5. JANNELLI, E., On the symmetrization of the principal symbol of hyperbolic equations, Comm. PDE, 14 (1989), 1617-1634. MR1039912
  6. KAJITANI, K., Local solution of the Cauchy problem for nonlinear hyperbolic systems in Gevrey classes, Hokkaido Math. J., 12 (1983), 434-460. MR725589
  7. KINOSHITA, T., On global solution of the Cauchy problem with small analytic data for nonlinear weakly hyperbolic systems, to appear on Tsukuba J. Math. Zbl0897.35047MR1473930
  8. SPAGNOLO, S., Some results of analytic regularity for the semilinear weakly hyperbolic equations of the second order, Rend. Sem. Mat. Torino, Fascicolo speciale (1988), 203-229. Zbl0694.35018MR1007377

Citations in EuDML Documents

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  1. Kunihiko Kajitani, Kaoru Yamaguti, Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems
  2. Daniela Calvo, Classi di Gevrey multi-anisotrope e problema di Cauchy
  3. Tatsuo Nishitani, Sergio Spagnolo, On pseudosymmetric systems with one space variable
  4. Daniela Calvo, Cauchy problem in multi-anisotropic Gevrey classes for weakly hyperbolic operators
  5. Marcello D’Abbicco, Giovanni Taglialatela, Some results on the well-posedness for systems with time dependent coefficients

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