Sur l'équation des ondes avec un terme non linéaire, monotone dans la fonction inconnue. Nota I

Marco Biroli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1972)

  • Volume: 53, Issue: 5, page 359-361
  • ISSN: 0392-7881

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Biroli, Marco. "Sur l'équation des ondes avec un terme non linéaire, monotone dans la fonction inconnue. Nota I." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 53.5 (1972): 359-361. <http://eudml.org/doc/295680>.

@article{Biroli1972,
author = {Biroli, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {fre},
month = {11},
number = {5},
pages = {359-361},
publisher = {Accademia Nazionale dei Lincei},
title = {Sur l'équation des ondes avec un terme non linéaire, monotone dans la fonction inconnue. Nota I},
url = {http://eudml.org/doc/295680},
volume = {53},
year = {1972},
}

TY - JOUR
AU - Biroli, Marco
TI - Sur l'équation des ondes avec un terme non linéaire, monotone dans la fonction inconnue. Nota I
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/11//
PB - Accademia Nazionale dei Lincei
VL - 53
IS - 5
SP - 359
EP - 361
LA - fre
UR - http://eudml.org/doc/295680
ER -

References

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  1. BRÉZIS, H., Monotonicity methods in Hilbert space and some applications to non linear partial differential equations, Proc. Symp. Madison 1971, edited by E. Zarantonello, Academic Press 1971, 101-156. 
  2. BIROLI, M., Solutions bornées ou presque périodiques de l'équation non linéaire de la corde vibrante, Note I, II, III, «Rend. Acc. Naz. Lincei», à paraitre. Zbl0266.35004
  3. BRODSKY, A. R., Weak wave operators for non linear wave equation, «Trans. Am. Math. Soc.», 96, 237-244 (1969). Zbl0186.42901MR236536DOI10.2307/1994800
  4. JÖRGENS, K., Anfangswertproblem in Grossen für eine Klasse nichtlinearer Wellengleichungen, «Math. Zeit.», 77, 295-308 (1961). Zbl0111.09105MR130462DOI10.1007/BF01180181
  5. LIONS, J. L., Sur les inéquations variationelles d'évolution pour les opérateurs du 2ème ordre en t, Symposium sur les problèmes d'évolution. Ist. Naz. di Alta Matematica, Roma1970. MR346332
  6. SHATER, J., The initial boundary values problem for a non linear hyperbolic equation in relativistic quantum mechanics, «J. of Math. and Mech.», 16, 27-50 (1966). MR196301DOI10.1512/iumj.1967.16.16003
  7. SHATER, J., The existence of a global solution of the initial boundary values problem for □ ⁢ u + u 3 = f , «Arch, for Rat. Mech. and An.», 22, 292-307 (1966). MR197965DOI10.1007/BF00285421
  8. SATTINGER, D. H., On global solution of non linear hyperbolic equations, «Arch, for Rat. Mech. and An.», 30, 148-172 (1968). Zbl0159.39102MR227616DOI10.1007/BF00250942
  9. SHIFF, L. I., Non linear meson theory of nuclear force, I, «Ph. Rev,», 84, 1-9 (1951). 
  10. SEGAL, I. E., The global Cauchy problem for a relativistic scalar field with power interaction, «Bull. Soc. Math. France», 91, 129-135 (1963). Zbl0178.45403MR153967
  11. SEGAL, I. E., Non linear relativistic partial differential equations, «Proc, Int. Congress Math.», 681-690. Moscou (1966). MR237153
  12. SEGAL, I. E., Non linear quantum processes and automorphism groups of c*-algebras, «Proc, Int. Congress. Math.», 2 vol., 419-426. Nice1970. MR426681

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