Perturbations singulières pour une équation hyperbolique dégénérée

Brahim Hajouj; Monique Madaune-Tort

Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)

  • Volume: 10, Issue: 2, page 313-345
  • ISSN: 0240-2963

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Hajouj, Brahim, and Madaune-Tort, Monique. "Perturbations singulières pour une équation hyperbolique dégénérée." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.2 (2001): 313-345. <http://eudml.org/doc/73549>.

@article{Hajouj2001,
author = {Hajouj, Brahim, Madaune-Tort, Monique},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {quasilinear hyperbolic equation; a-priori estimate; relaxation; hyperbolic variational equality},
language = {fre},
number = {2},
pages = {313-345},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Perturbations singulières pour une équation hyperbolique dégénérée},
url = {http://eudml.org/doc/73549},
volume = {10},
year = {2001},
}

TY - JOUR
AU - Hajouj, Brahim
AU - Madaune-Tort, Monique
TI - Perturbations singulières pour une équation hyperbolique dégénérée
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 2
SP - 313
EP - 345
LA - fre
KW - quasilinear hyperbolic equation; a-priori estimate; relaxation; hyperbolic variational equality
UR - http://eudml.org/doc/73549
ER -

References

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  2. [2] Duvaut ( G.) et Lions ( J.L.). — Les inéquations en mécanique et en physique. Dunod, Paris, 1972. Zbl0298.73001MR464857
  3. [3] Feireisl ( E.). - Global Attractors for Semilinear Damped Wave Equations with Supercritical Exponent. Jnal of Diff. Eq.116, 1995, 431-447. Zbl0819.35097MR1318582
  4. [4] Georgiev ( V.) and Todorova ( G.). - Existence of a solution of the Wave Equation with Nonlinear Damping and Source Terms. Jnal of Diff. Eq.109, 1994, 295-308. Zbl0803.35092MR1273304
  5. [5] Hajouj ( B.). — Perturbations singulières d'équations hyperboliques du second ordre non linéaires, Ann. Math. Blaise Pascal, Vol 7, No. 1, 2000, 1-22. Zbl0960.35070MR1769979
  6. [6] Hajouj ( B.). - On an Elasto-Plasticity Problem with Small Parameters. Advances in Mathematical Sciences and Applications., Vol 9, No. 1, 1999, 209-227. Zbl0924.73078MR1690416
  7. [7] Hsiao ( G.C.) et Weinacht ( R.J.). - Singular Perturbations for a Semilinear Hyperbolic Equation. Siam J. Math. Anal., 14, (6), 1983, 1168-1179. Zbl0534.35068MR718817
  8. [8] LAR'KIN ( N.A.). — On a class of Quasi-Linear Hyperbolic Equations Having Global Solutions. Soviet Math. Dokl., Vol. 20, No. 1, 1979. Zbl0417.35053
  9. [9] Lions ( J.L.). - Quelques méthodes de résolution de problèmes aux limites non linéaires. Dunod, Paris, 1969. Zbl0189.40603MR259693
  10. [10] Lions ( J.L.). - Perturbations singulières dans les problèmes aux limites et en contrôle optimal. Lecture Notes in Mathematics, no 393, Springer-Verlag, BerlinNew York, 1968. Zbl0268.49001MR600331
  11. [11] Lions ( J.L.) et Magenes ( E.). - Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris1986. Zbl0165.10801MR247243
  12. [12] Lions ( J.L.) et Strauss ( W.A.). — Some Non-Linear Evolutions Equations. Bull. Soc. Math. France, 93, 1965, 43-96. Zbl0132.10501MR199519
  13. [13] Milani ( A.). - Long Time Existence and Singular Perturbation Results for Quasilinear Hyperbolic Equations with Small Parameter and Dissipation Term-III. Nonlinear Analysis. Theory, Methods & Applications, Vol. 16, No. 1, 1991, 1-11. Zbl0760.35030

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