La condition nulle pour les équations hyperboliques en dimension deux d’espace

Serge Alinhac[1]

  • [1] Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France

Séminaire Équations aux dérivées partielles (2000-2001)

  • Volume: 2000-2001, page 1-10

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Alinhac, Serge. "La condition nulle pour les équations hyperboliques en dimension deux d’espace." Séminaire Équations aux dérivées partielles 2000-2001 (2000-2001): 1-10. <http://eudml.org/doc/11024>.

@article{Alinhac2000-2001,
affiliation = {Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France},
author = {Alinhac, Serge},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {quasilinear wave equations; lifespan; null conditions},
language = {fre},
pages = {1-10},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {La condition nulle pour les équations hyperboliques en dimension deux d’espace},
url = {http://eudml.org/doc/11024},
volume = {2000-2001},
year = {2000-2001},
}

TY - JOUR
AU - Alinhac, Serge
TI - La condition nulle pour les équations hyperboliques en dimension deux d’espace
JO - Séminaire Équations aux dérivées partielles
PY - 2000-2001
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2000-2001
SP - 1
EP - 10
LA - fre
KW - quasilinear wave equations; lifespan; null conditions
UR - http://eudml.org/doc/11024
ER -

References

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  1. Alinhac S., “Blowup of small data solutions for a quasilinear wave equation in two space dimensions”, Ann. Maths 149, (1999), 97-127. Zbl1080.35043
  2. Alinhac S., “Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions II”, Acta Math. 182, (1999), 1-23. Zbl0973.35135
  3. Alinhac S., “Blowup for nonlinear hyperbolic equations”, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser (1995). Zbl0820.35001
  4. Alinhac S., “The null condition for quasilinear wave equations in two space dimensions I”, Preprint, Université Paris-Sud, Orsay, (2000). Zbl1112.35341
  5. Alinhac S., “The null condition for quasilinear wave equations in two space dimensions II”, Preprint, Université Paris-Sud, Orsay, (2000). Zbl1112.35342
  6. Christodoulou D., “Global solutions of nonlinear hyperbolic equations for small initial data”, Comm. Pure Appl. Math. 39, (1986), 267-282. Zbl0612.35090
  7. Hörmander L., “Lectures on nonlinear hyperbolic differential equations”, Math. Appl. 26, Springer Verlag, (1997). Zbl0881.35001
  8. Hoshiga A., “The initial value problems for quasilinear wave equations in two space dimensions with small data”, Adv. Math. Sci. Appl. 5, (1995), 67-89. Zbl0829.35080
  9. John F., “Nonlinear wave equations. Formation of singularities”, Leghigh University, University Lectures Series, AMS, Providence, (1990). Zbl0716.35043
  10. John F., “Solutions of quasilinear wave equations with small initial data. The third phase.”, Lecture Notes in Math. 1402, Springer Verlag, (1989), 155-173. Zbl0694.35012
  11. Klainerman S., “Long time behavior of solutions to nonlinear wave equations”, Proc. Int. Congr. Math., Warszawa, (1983), 1209-1215. Zbl0581.35052
  12. Klainerman S., “Uniform decay estimates and the Lorentz invariance of the classical wave equation”, Comm. Pure Appl. Math. 38, (1985), 321-332. Zbl0635.35059
  13. Klainerman S., “The null condition and global existence to nonlinear wave equations”, Lect. Appl. Math. 23, (1986), 293-326. Zbl0599.35105
  14. adhari R., “Petites solutions d’équations d’ondes quasi-linéaires en dimension deux d’espace”, Thèse de Doctorat, Université Paris-Sud, Orsay, (1999). 
  15. Li Ta-tsien, “Global existence for systems of nonlinear wave equations in two space dimensions”, Publ. RIMS 231, (1995), 645-665. Zbl0864.35075
  16. Lindblad H., “A remark on global existence for small initial data of the minimal surface equation in minkowskian space-time”, Preprint, (1997). Zbl1061.35053

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