Classical conormal semilinear waves with respect to two transversal hypersurfaces

Bouchaib Nadir; Alain Piriou

Journées équations aux dérivées partielles (1989)

  • Volume: 58, Issue: 3, page 1-8
  • ISSN: 0752-0360

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Nadir, Bouchaib, and Piriou, Alain. "Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses." Journées équations aux dérivées partielles 58.3 (1989): 1-8. <http://eudml.org/doc/93202>.

@article{Nadir1989,
author = {Nadir, Bouchaib, Piriou, Alain},
journal = {Journées équations aux dérivées partielles},
keywords = {symbols; conormal solution},
language = {fre},
number = {3},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses},
url = {http://eudml.org/doc/93202},
volume = {58},
year = {1989},
}

TY - JOUR
AU - Nadir, Bouchaib
AU - Piriou, Alain
TI - Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses
JO - Journées équations aux dérivées partielles
PY - 1989
PB - Ecole polytechnique
VL - 58
IS - 3
SP - 1
EP - 8
LA - fre
KW - symbols; conormal solution
UR - http://eudml.org/doc/93202
ER -

References

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  1. [1] ALINHAC S : Interaction d'ondes simples pour des équations non linéaires générales ; Current Topics in PDE, Kinekuniya Co., 1985, Japon. 
  2. [2] BONY J. M : Interaction de singularités pour des équations aux dérivées partielles non linéaires ; Sém. Goulaouic-Meyer-Schwartz, n° 22, 1979-1980. Zbl0449.35006
  3. [3] BONY J. M : n° 2, 1981-1982. Zbl0498.35017
  4. [4] BONY J.M : Singularités des solutions de problèmes de Cauchy hyperboliques non linéaires. Advances in microlocal analysis, H. G. Garnier (ed), D. Reidel (1986), 15-39. Zbl0627.35065MR87m:35150
  5. [5] HORMANDER L : The analysis of linear partial differential operators. Springer Verlag, 1985, t. III. Zbl0601.35001
  6. [6] MELROSE R. B. - RITTER N : Interaction of progressing waves through a non linear potential. Sém. Goulaouic-Meyer-Schwartz, n° 12, 1983-1984. Zbl0554.35085
  7. [7] MELROSE R. B. - RITTER N : Interaction of non linear progressing waves for semilinear waves equations. Ann. Math. 121 (1985), 187-213. Zbl0575.35063MR86m:35005
  8. [8] METIVIER G : The Cauchy problem for semilinear hyperbolic systems with discontinuous data. Duke Math. J., vol. 53, n° 4 (1986), 983-1011. Zbl0631.35056MR88a:35146
  9. [9] METIVIER G : Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. Zbl0687.35021
  10. [10] NADIR B. - PIRIOU A : Ondes semi-linéaires conormales par rapport à deuxhypersurfacestransverses. Zbl0688.35013
  11. [11] NADIR B. - VARENNE J.P : Problème de Cauchy et réflexion transverse pour une onde conormale classique. Prépublication (1989), Nice. Zbl0702.35039MR91f:35163
  12. [12] PIRIOU A : Calcul symbolique non linéaire pour une onde conormale simple. Ann. Inst. Fourier, Grenoble 38, 4 (1985), 173-187. Zbl0646.35012MR90c:35209
  13. [13] RAUCH J. - REED M : Non linear microlocal analysis of semilinear hyperbolic systems in one space dimension. Duke Math. J., vol 49, n° 2 (1982), 397-475. Zbl0503.35055MR83m:35098
  14. [14] RAUCH J. - REED M : Striated solutions of semilinear two speed waves equations. Indiana Univ. Math. J., 34 (1985), 337-353. Zbl0559.35053MR86m:35111
  15. [15] RAUCH J. - REED M : Discontinuous progressing waves for semilinear systems. Comm. in partial different equations, 10, (9) (1985), 1033-1075. Zbl0598.35069MR87g:35146
  16. [16] RAUCH J. - REED M : Propagation of equality and classicity for conormal solutions of semilinear systems. Comm. in partial different equations, vol. 13, n° 10, 1988. MR91k:35153

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