Singular perturbations for a class of quasi-linear hyperbolic equations

Monique Madaune

Annales de la Faculté des sciences de Toulouse : Mathématiques (1979)

  • Volume: 1, Issue: 2, page 137-163
  • ISSN: 0240-2963

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Madaune, Monique. "Singular perturbations for a class of quasi-linear hyperbolic equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.2 (1979): 137-163. <http://eudml.org/doc/73087>.

@article{Madaune1979,
author = {Madaune, Monique},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {singular perturbations; quasi-linear hyperbolic equations},
language = {eng},
number = {2},
pages = {137-163},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Singular perturbations for a class of quasi-linear hyperbolic equations},
url = {http://eudml.org/doc/73087},
volume = {1},
year = {1979},
}

TY - JOUR
AU - Madaune, Monique
TI - Singular perturbations for a class of quasi-linear hyperbolic equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1979
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 2
SP - 137
EP - 163
LA - eng
KW - singular perturbations; quasi-linear hyperbolic equations
UR - http://eudml.org/doc/73087
ER -

References

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  1. [1] C. Bardos. «Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels», Ann. Sci. Ecole Norm. Sup.3, (1970), 185-283. Zbl0202.36903MR274925
  2. [2] L. Garding. «Solution directe du problème de Cauchy pour les équations hyperboliques in «La Théorie des équations aux dérivées partielles, Nancy 1956, Colloques internationaux du Centre National de la Recherche ScientifiqueLXXI », pp. 71-90. Centre National de la Recherche Scientifique, Paris1956. Zbl0075.09703MR116142
  3. [3] R. Geel. «Singular Perturbations of hyperbolic type», Thesis, University of Amsterdam, 1978. Zbl0498.35001MR527627
  4. R. Geel and E.M. De J Ager. «Hyperbolic singular perturbation of non linear first order differential equations». Zbl0408.35011
  5. [4] J. Genet and M. Madaune. «Singular Perturbations for a class of non linear hyperbolic-hyperbolic problems», J. Math. Anal. Appli.63 (1978). Zbl0384.35008MR473457
  6. [5] J. Leray. «Lectures on hyperbolic equations with variable coefficients», The Institute for Advanced Study, Princeton, 1952. 
  7. [6] J.L. Lions. «Perturbations singulières dans les problèmes aux limites et en contrôle optimal», Lecture Notes in Mathematics, N° 323, Springer-Verlag, Berlin / New-York, 1973. Zbl0268.49001MR600331
  8. [7] M. Marcus and V.J. Mizel. «Absolute Continuity on Tracks and Mappings of Sobolev Spaces», Archiv. Rational Mech. Anal., 1972, pp. 294-320. Zbl0236.46033MR338765
  9. [8] F. Mignot and J.P. Puel. «Un résultat de perturbations singulières dans les inéquations variationnelles», Lecture Notes in Mathematics, N° 594, Singular Perturbations and Boundary Layer Theory, Lyon1976, Springer-Verlag, Berlin / New-York, 1977. Zbl0446.35009MR463670
  10. [9] J. Necas. «Les méthodes directes en théorie des équations elliptiques», Masson, Paris, 1967. MR227584
  11. [10] J.C. Saut. Thèse de 3ème cycle, Université d'Orsay, 1972 (France). 
  12. [11] L. Tartar. «Interpolation non linéaire et Régularité», J. Funct. Anal., vol. 9, 1972, pp. 469-489. Zbl0241.46035MR310619

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