Estimées de Strichartz pour l’équation de Schrödinger à coefficients variables
Séminaire Équations aux dérivées partielles (Polytechnique) (2003-2004), Talk no. 19, 23 p.
@article{SEDP_2003-2004____A19_0,
     author = {Robbiano, Luc and Zuily, Claude},
     title = {Estim\'ees de Strichartz pour l'\'equation de Schr\"odinger \`a coefficients variables},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2003-2004},
     note = {talk:19},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_2003-2004____A19_0}
}
Robbiano, Luc; Zuily, Claude. Estimées de Strichartz pour l’équation de Schrödinger à coefficients variables. Séminaire Équations aux dérivées partielles (Polytechnique) (2003-2004), Talk no. 19, 23 p. http://www.numdam.org/item/SEDP_2003-2004____A19_0/

[B] N. Burq : Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrödinger. Séminaire Équations aux Dérivées partielles 2001-2002 exposé n XI. École Polytechnique.

[BGT] N. Burq - P. Gérard - N. Tzvetkov : Strichartz inequalities and the non linear Schrödinger equation on compact manifold. American Journal of math 126 (2004) 569-605. | MR 2058384 | Zbl 1067.58027

[CK] M. Christ - A. Kiselev : Maximal functions associated to filtrations. J. Funct. Anal. 179 (2001) 409-425. | MR 1809116 | Zbl 0974.47025

[CS] G.M. Constantin - T.H. Savits : A multivariate Faa di Bruno formula with applications. Trans AMS vol.348 n 2 (1996), 503-520. | MR 1325915 | Zbl 0846.05003

[D] S.I. Doi : Smoothing effects of Schrödinger evolution groups on Riemannian manifolds. Duke Math. J. 82 (1996), 679-706. | MR 1387689 | Zbl 0870.58101

[GV] J. Ginibre - G. Velo : Smoothing properties and retarted estimates for some dispersive evolution equations. Comm. Math. Phys 144 (1992), 163-188. | MR 1151250 | Zbl 0762.35008

[H] L. Hörmander : The analysis of linear partial differential operators vol.1 and 4. Grundhehren. Springer

[HTW] A. Hassel - T. Tao - J. Wunsh : A strichartz inequality for the Schrödinger equation on non mapping asymptotically conic manifolds. Preprint. | Zbl 1068.35119

[KT] M. Keel - T. Tao : End point Strichartz estimate. Amer. Math. J. 120 (1998), 955-980. | MR 1646048 | Zbl 0922.35028

[MS] A. Melin - J. Sjöstrand : Fourier integral operators with complex valued phase functions. Springer Lecture Notes in Mathematics 459, 121-223. | MR 431289 | Zbl 0306.42007

[Sj] J. Sjöstrand : Singularités analytiques microlocales Astérisque 95 (1982) 1-205. | MR 699623 | Zbl 0524.35007

[St] R. Strichartz : Restriction of Fourier transform to quadratic surfaces and decay of solutions to the wave equation. Duke Math. J., 44 (1977), 705-714. | MR 512086 | Zbl 0372.35001

[ST] G. Staffilani - D. Tataru : Strichartz estimates for a Schrödinger operator with non smooth coefficients. Comm. on PDE 27 (5 & 6) (2002), 1337-1372. | MR 1924470 | Zbl 1010.35015

[RZ1] L. Robbiano - C. Zuily : Microlocal analytic smoothing effect for the Schrödinger equation. Duke Math J. 100, n 1, 93-129. | MR 1714756 | Zbl 0941.35014

[RZ2] L. Robbiano - C. Zuily : Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Asterisque 283 (2002), 1-128. | MR 1958605 | Zbl 1029.35001

[SS] H. Smith - C. Sogge : Global Strichartz estimates for non trapping perturbations of the Laplacian. Comm on PDE 25 (11 & 12) (2000), 2171-2183. | MR 1789924 | Zbl 0972.35014

[Y] K. Yajima : Existence of solutions for Schrödinger evolution equations. Comm. Math. Phys. 110 (1987), 415-426. | MR 891945 | Zbl 0638.35036