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Tuesday Seminar of Analysis
Seminar information archive ～12/01｜Next seminar｜Future seminars 12/02～
| Date, time & place | Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi |
2013/11/26
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Haruya MIZUTANI (Gakushuin University)
Global Strichartz estimates for Schr\\"odinger equations with long range metrics (JAPANESE)
Haruya MIZUTANI (Gakushuin University)
Global Strichartz estimates for Schr\\"odinger equations with long range metrics (JAPANESE)
[ Abstract ]
We consider Schr\\"odinger equations on the asymptotically Euclidean space
with the long-range condition on the metric.
We show that if the high energy resolvent has at most polynomial growth with respect to the energy,
then global-in-time Strichartz estimates, outside a large compact set, hold.
Under the non-trapping condition we also discuss global-in-space Strichartz estimates.
This talk is based on a joint work with J.-M. Bouclet (Toulouse University).
We consider Schr\\"odinger equations on the asymptotically Euclidean space
with the long-range condition on the metric.
We show that if the high energy resolvent has at most polynomial growth with respect to the energy,
then global-in-time Strichartz estimates, outside a large compact set, hold.
Under the non-trapping condition we also discuss global-in-space Strichartz estimates.
This talk is based on a joint work with J.-M. Bouclet (Toulouse University).
