Smoothing effect for Schrödinger evolution equation via commutator algebra
Doi, Shin-ichi1
1 Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France, Department of Mathematics, Faculty of Sciences, Kyoto University, Kyoto, Japan
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 20, 13 p.
Doi, Shin-ichi 1

1 Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France, Department of Mathematics, Faculty of Sciences, Kyoto University, Kyoto, Japan 
@article{SEDP_1996-1997____A20_0,
     author = {Doi, Shin-ichi},
     title = {Smoothing effect for {Schr\"odinger} evolution equation via commutator algebra},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:20},
     pages = {1--13},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1996-1997},
     zbl = {1054.58012},
     mrnumber = {1482826},
     language = {en},
     url = {http://archive.numdam.org/item/SEDP_1996-1997____A20_0/}
}
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Doi, Shin-ichi. Smoothing effect for Schrödinger evolution equation via commutator algebra. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 20, 13 p. http://archive.numdam.org/item/SEDP_1996-1997____A20_0/

[Cr] W. Craig, Les moments microlocaux et la regularité des solutions de l’équation de Schrödinger, Seminaire, Equations aux Dérivées Partielles, Ecole Polytechnique (1995-1996), No. 20. | EuDML | Numdam | MR | Zbl

[CKS] W. Craig, T. Kappeler and W. Strauss, Microlocal dispersive smoothing for the Schrödinger equation, Commun. Pure Applied Math. 48, 769-860 (1995). | MR | Zbl

[Do1] S. Doi, Smoothing effects of Schrödinger evolution groups on Riemannian manifolds, Duke Math J. 82 (1996), 1-28. | MR | Zbl

[Do2] S. Doi, in preparation.

[GIS] C. Gérard, H. Isozaki, and E. Skibsted, Commutator algebra and resolvent estimates, Advenced Studies in Pure Mathematics 23, 69-82 (1994). | MR | Zbl

[KR] L. Kapitanski and I. Rodianski, Regulated smoothing for Schrödinger evolution, International Mathematics Research Notices No 2, 41-54 (1996) | MR | Zbl

[KS] L. Kapitanski and Y. Safarov, Dispersive smoothing for Schrödinger equations, Mathematical Research Letters 3, 77-91 (1996) | MR | Zbl

[Ya] K. Yajima, Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations, Commun. Math. Phys. 181, 605-629 (1996). | MR | Zbl

[Ze] S. Zelditch, Reconstruction of singularities for solutions of Schrodinger’s equation Commun. Math. Phys. 90, 1-26 (1983). | MR | Zbl