Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps
Ferruccio Colombini; Ennio De Giorgi; Sergio Spagnolo
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)
- Volume: 6, Issue: 3, page 511-559
- ISSN: 0391-173X
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topColombini, Ferruccio, De Giorgi, Ennio, and Spagnolo, Sergio. "Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.3 (1979): 511-559. <http://eudml.org/doc/83819>.
@article{Colombini1979,
author = {Colombini, Ferruccio, De Giorgi, Ennio, Spagnolo, Sergio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {hyperbolic equation; existence and uniqueness; coercive equations; analytic solutions; Gevrey class; a priori estimates; perturbation},
language = {fre},
number = {3},
pages = {511-559},
publisher = {Scuola normale superiore},
title = {Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps},
url = {http://eudml.org/doc/83819},
volume = {6},
year = {1979},
}
TY - JOUR
AU - Colombini, Ferruccio
AU - De Giorgi, Ennio
AU - Spagnolo, Sergio
TI - Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 3
SP - 511
EP - 559
LA - fre
KW - hyperbolic equation; existence and uniqueness; coercive equations; analytic solutions; Gevrey class; a priori estimates; perturbation
UR - http://eudml.org/doc/83819
ER -
References
top- [1] F. Colombini - S. Spagnolo, On the convergence of solutions of hyperbolic equations, Comm. Partial Differential Equations, 3 (1978), pp. 77-103. Zbl0375.35034MR493117
- [2] L. De Simon - G. Torelli, Linear second order differential equations with discontinuous coefficients in Hilbert spaces, Ann. Scuola Norm. Sup. Pisa, 1 (1974), pp. 131-154. Zbl0318.35055MR388168
- [3] J.M. Gelfand - G.E. Shilov, Generalized functions, vol. II et III, Academic Press, New York, 1967 (édition originelle: Moscou, 1958). Zbl0355.46017
- [4] A.E. Hurd - D.H. Sattinger, Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients, Trans. Amer. Math. Soc., 132 (1968), pp. 159-174. Zbl0155.16401MR222457
- [5] J.L. Lions, Equations différentielles opérationnelles et problèmes aux limites, Springer, Berlin, 1961. Zbl0098.31101MR153974
- [6] J.L. Lions - E. Magenes, Problèmes aux limites non homogènes et applications, Dunod, Paris, 1968. Zbl0165.10801
- [7] A. Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel,J. Analyse Math., 11 (1963), pp. 1-164. Zbl0124.31804MR159220
- [8] W.T. Reid, On the approximation of integrable functions by functions of bounded variation, Ann. Scuola Norm. Sup. Pisa, 14 (1960), pp. 133-140. Zbl0097.27503MR126514
- [9] C. Roumieu, Sur quelques extensions de la notion de distributions, Ann. Sci. École Norm. Sup., 77 (1960), pp. 47-121. Zbl0104.33403MR121643
- [10] C. Roumieu, Ultradistributions définies sur Rn et sur certaines classes de variétés différentiables, J. Analyse Math., 10 (1962-63), pp. 153-192. Zbl0122.34802MR158261
- [11] F. Treves, Basic linear partial differential equations, Academic Press, New York, 1975. Zbl0305.35001MR447753
Citations in EuDML Documents
top- Ferruccio Colombini, Quelques résultats de non résolubilité locale pour des équations hyperboliques
- Tamotu Kinoshita, On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in and degenerate in
- Ferruccio Colombini, Daniele del Santo, Tamotu Kinoshita, Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients
- Ferruccio Colombini, Guy Métivier, The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations
- Massimo Cicognani, The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time
- F. Colombini, S. Spagnolo, Some examples of hyperbolic equations without local solvability
- F. Colombini, E. Jannelli, S. Spagnolo, Well-posedness in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time
- Marina Ghisi, Analytic solutions to nonlocal abstract equations
- Enrico Jannelli, Weakly hyperbolic equations of second order well-posed in some Gevrey classes
- Nicola Orrù, On a weakly hyperbolic equation with a term of order zero
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