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Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations

Massimo Cicognani; Luisa Zanghirati

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 99-111
  • ISSN: 0041-8994

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Cicognani, Massimo, and Zanghirati, Luisa. "Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 99-111. <http://eudml.org/doc/108383>.

@article{Cicognani1995,
author = {Cicognani, Massimo, Zanghirati, Luisa},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {propagation of regularity; semilinear equation; Gevrey class},
language = {eng},
pages = {99-111},
publisher = {Seminario Matematico of the University of Padua},
title = {Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations},
url = {http://eudml.org/doc/108383},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Cicognani, Massimo
AU - Zanghirati, Luisa
TI - Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 99
EP - 111
LA - eng
KW - propagation of regularity; semilinear equation; Gevrey class
UR - http://eudml.org/doc/108383
ER -

References

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  1. [1] R. Agliardi, Fourier integral operators of infinite order on D{σ}L2 (D{σ}'L2) with an application to a certain Cauchy problem, Rend. Sem. Mat. Univ. Padova, 84 (1990), pp. 71-82. Zbl0737.35172
  2. [2] S. Alinhac - G. METIVIER, Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires, Inv. Math., 75 (1984), pp. 189-203. Zbl0545.35063MR732545
  3. [3] L. Cattabriga - D. MARI, Parametrix of infinite order on Gevrey spaces to the Cauchy problem for hyperbolic operators with one multiplecharacteristic, Ricerche Mat. Suppl. (1987), pp. 127-147. Zbl0676.35052MR956023
  4. [4] K. Kajtani - S. Wakabayashi, Microhyperbolic operators in Gevrey classes, Publ. RIMS, Kyoto Univ., 25 (1989), pp. 169-221. Zbl0705.35158MR1003785
  5. [5] H. Komatsu, Linear hyperbolic equations with Gevrey coefficients, J. Math. Pures Appl., 59 (1980), pp. 145-185. Zbl0407.35052MR581987
  6. [6] J. Leray - Y. OHYA, Equations et systemes non-linéaires, hyperboliques non-stricts, Math. Annalen, 170 (1967), pp. 167-205. Zbl0146.33701MR208136
  7. [7] S. Mizohata, On the Cauchy Problem, Science Press, Bejing (1958). Zbl0616.35002MR860041
  8. [8] S. Spagnolo, Some results of analytic regularity for the semilinear weakly hyperbolic equations of the second order, Rend. Sem. Mat. Univ. Pol. Torino, Fascicolo speciale (1988), pp. 203-229. Zbl0694.35018MR1007377
  9. [9] K. Taniguchi, Fourier integral operators in Gevrey class on Rn and the fundamental solution for a hyperbolic operator, Publ. RIMS, Kyoto Univ., 20 (1984), pp. 491-542. Zbl0574.35082MR759680

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