Hyperbolic operators with non Lipschitz coefficients

F. Colombini; N. Lerner

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-12

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Colombini, F., and Lerner, N.. "Hyperbolic operators with non Lipschitz coefficients." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-12. <http://eudml.org/doc/112082>.

@article{Colombini1993-1994,
author = {Colombini, F., Lerner, N.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Lipschitz continuity; log-Lipschitz continuity; well-posedness},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Hyperbolic operators with non Lipschitz coefficients},
url = {http://eudml.org/doc/112082},
year = {1993-1994},
}

TY - JOUR
AU - Colombini, F.
AU - Lerner, N.
TI - Hyperbolic operators with non Lipschitz coefficients
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
KW - Lipschitz continuity; log-Lipschitz continuity; well-posedness
UR - http://eudml.org/doc/112082
ER -

References

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  1. [1] Bahouri H., J.-Y. Chemin: Equations de transport relatives à des champs de vecteurs non lipschitziens et mécanique des fluides, Preprint n. 1059 (1993), Ecole Polytechnique, France. Zbl0821.76012MR1288809
  2. [2] Bony J.-M.: Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Sc. Ec. Norm. Sup.14 (1981), pp. 209-246. Zbl0495.35024MR631751
  3. [3] Chemin J.-Y., N. Lerner: Flots de champs de vecteurs non lipschitziens et équations de Navier-Stokes, Preprint n. 1062 (1993), Ecole Polytechnique, France. Zbl0878.35089MR1354312
  4. [4] Colombini F., E. De Giorgi, S. Spagnolo: Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps, Ann. Scuola Norm. Sup. Pisa, Ser. IV, 6 (1979), pp. 511-559. Zbl0417.35049MR553796
  5. [5] Colombini F., E. Jannelli, S. Spagnolo: Non Uniqueness in hyperbolic Cauchy problems, Ann. of Math.126 (1987), pp. 495-524. Zbl0649.35051MR916717
  6. [6] Colombini F., S. Spagnolo: Hyperbolic Equations without solvability, Ann. Sc. Ec. Norm. Sup., 22 (1989), pp. 109-125. Zbl0702.35146MR985857
  7. [7] Jannelli E.: Regularly Hyperbolic Systems and Gevrey Classes, Ann. Mat. Pura e Appl., serie IV, 140 (1985), pp. 133-145. Zbl0583.35074MR807634
  8. [8] Nishitani T.: Bull. Sc. Math. serie II, 107 (1983), pp. 113-138. Zbl0536.35042MR704720

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