@incollection{JEDP_1991____A12_0, author = {Antonio Sa Barreto}, title = {Evolution of semilinear conormal waves}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {12}, pages = {1--18}, publisher = {\'Ecole polytechnique}, year = {1991}, language = {en}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1991____A12_0/} }
Antonio Sa Barreto. Evolution of semilinear conormal waves. Journées équations aux dérivées partielles (1991), article no. 12, 18 p. https://proceedings.centre-mersenne.org/item/JEDP_1991____A12_0/
[1] V.I. Arnol'D. Wave fronts evolution and equivariant Morse lemma. Comm. Pure Appl. Math. 28 (1976) 557-582. | MR | Zbl
[2] V.I. Arnol'D. Classical Mechanics. Springer Verlag GTM vol. 60, 1984.
[3] M. Beals. Regularity of nonlinear waves associated with a cusp. Preprint. | Zbl
[4] J-M. Bony. Interaction des singulariteés pour les équations aux derivées partielles non-lineaires. Sem. Goulaouic- Meyer-Schwartz, exp no. 22 (1979-1980). | Numdam | Zbl
[5] J-M. Delort Conormalite des ondes semilineaires le long des caustiques, Preprint. | Numdam | Zbl
[6] G. Lebeau Probleme de Cauchy semilineaire en 3 dimensions d'espace. Un resultat de finitude. Jour. Func Anal 78 (1988) 185-196. | MR | Zbl
[7] G. Lebeau Equations des ondes seminlineaires II. Controle des singularites et caustiques semilineaires. Invent. Math. 95 (1989), 277-323. | MR | Zbl
[8] R. Melrose. Marked lagrangian distributions. In Preparation.
[9] R. Melrose. Semilinear equations with cusp singularities. Preprint.
[10] R. Melrose. Transformation of boundary value problems. Acta Matematica 147 (1981) 149-236. | MR | Zbl
[11] R. Melrose and N. Ritter Interactions of progressing waves for semilinear wave equations Ann. of Math. 121 (1985) 187-213. | MR | Zbl
[12] R. Melrose and N. Ritter. Interaction of nonlinear progressing waves for semilinear wave equations II. Arkiv For Matematik vol 25 (1987) 91-114. | MR | Zbl
[13] R. Melrose and A. Sá Barreto. Non-linear interaction of a cusp and a plane. In Preparation.
[14] R. Melrose, A. Sá Barreto and M. Zworski Semilinear diffraction of conormal waves. In Preparation.
[15] A. Sá Barreto On the Interactions Of Conormal Waves. To appear in the Proceedings of IMA. | Zbl
[16] A. Sá Barreto Second microlocal ellipticity and propagation of conormality for semi-linear wave equations. To appear in Journ. Of Funct. Anal. | Zbl
[17] A. Sá Barreto Evolution of conormal waves with swallowtail singularities. In preparation.
[18] M. Zworski Propagation of sub-marked Lagrangian singularities. Inpreparation.