Evolution of semilinear conormal waves

Antonio Sa Barreto

Journées équations aux dérivées partielles (1991)

  • page 1-18
  • ISSN: 0752-0360

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Sa Barreto, Antonio. "Evolution of semilinear conormal waves." Journées équations aux dérivées partielles (1991): 1-18. <http://eudml.org/doc/93227>.

@article{SaBarreto1991,
author = {Sa Barreto, Antonio},
journal = {Journées équations aux dérivées partielles},
keywords = {cusp singularity; characteristics; second order strictly hyperbolic differential operator; smooth coefficients; conormal singularities; swallowtail singularity; 726},
language = {eng},
pages = {1-18},
publisher = {Ecole polytechnique},
title = {Evolution of semilinear conormal waves},
url = {http://eudml.org/doc/93227},
year = {1991},
}

TY - JOUR
AU - Sa Barreto, Antonio
TI - Evolution of semilinear conormal waves
JO - Journées équations aux dérivées partielles
PY - 1991
PB - Ecole polytechnique
SP - 1
EP - 18
LA - eng
KW - cusp singularity; characteristics; second order strictly hyperbolic differential operator; smooth coefficients; conormal singularities; swallowtail singularity; 726
UR - http://eudml.org/doc/93227
ER -

References

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  1. [1] V.I. Arnol'd. Wave fronts evolution and equivariant Morse lemma. Comm. Pure Appl. Math. 28 (1976) 557-582. Zbl0343.58003MR55 #9148
  2. [2] V.I. Arnol'd. Classical Mechanics. Springer Verlag GTM vol. 60, 1984. 
  3. [3] M. Beals. Regularity of nonlinear waves associated with a cusp. Preprint. Zbl0794.35004
  4. [4] J-M. Bony. Interaction des singulariteés pour les équations aux derivées partielles non-lineaires. Sem. Goulaouic- Meyer-Schwartz, exp no. 22 (1979-1980). Zbl0449.35006
  5. [5] J-M. DelortConormalite des ondes semilineaires le long des caustiques, Preprint. Zbl0703.35113
  6. [6] G. LebeauProbleme de Cauchy semilineaire en 3 dimensions d'espace. Un resultat de finitude. Jour. Func Anal 78 (1988) 185-196. Zbl0648.35057MR89e:35101
  7. [7] G. LebeauEquations des ondes seminlineaires II. Controle des singularites et caustiques semilineaires. Invent. Math. 95 (1989), 277-323. Zbl0686.35015MR92j:35126b
  8. [8] R. Melrose. Marked lagrangian distributions. In Preparation. 
  9. [9] R. Melrose. Semilinear equations with cusp singularities. Preprint. Zbl0656.35098
  10. [10] R. Melrose. Transformation of boundary value problems. Acta Matematica 147 (1981) 149-236. Zbl0492.58023MR83f:58073
  11. [11] R. Melrose and N. RitterInteractions of progressing waves for semilinear wave equations Ann. of Math. 121 (1985) 187-213. Zbl0575.35063MR86m:35005
  12. [12] R. Melrose and N. Ritter. Interaction of nonlinear progressing waves for semilinear wave equations II. Arkiv For Matematik vol 25 (1987) 91-114. Zbl0653.35058MR89b:35005
  13. [13] R. Melrose and A. Sá Barreto. Non-linear interaction of a cusp and a plane. In Preparation. Zbl0847.35086
  14. [14] R. Melrose, A. Sá Barreto and M. ZworskiSemilinear diffraction of conormal waves. In Preparation. 
  15. [15] A. Sá BarretoOn the Interactions Of Conormal Waves. To appear in the Proceedings of IMA. Zbl0794.35006
  16. [16] A. Sá BarretoSecond microlocal ellipticity and propagation of conormality for semi-linear wave equations. To appear in Journ. Of Funct. Anal. Zbl0746.35021
  17. [17] A. Sá BarretoEvolution of conormal waves with swallowtail singularities. In preparation. 
  18. [18] M. ZworskiPropagation of sub-marked Lagrangian singularities. Inpreparation. 

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