Timeline for Strichartz estimates and Schrödinger equation with derivative
Current License: CC BY-SA 4.0
3 events
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| Oct 1, 2022 at 19:34 | comment | added | Piero D'Ancona | One brute force attack might be to consider the full space-time operator $iu_t+\Delta u=Lu$, which can be inverted as an operator on suitable Strichartz spaces. Then your problem would be to invert $L+V(x)$, and for this problem there exist several techniques, notably Fredholm theory | |
| Oct 1, 2022 at 10:48 | comment | added | Jakob Möller | I know about some of the "magnetic Strichartz estimates" in the literature (e.g. Stefanov as mentioned by Terry Tao). The motivation for my question is if there is any "brute force" (in the sense of "not optimal") way to obtain LWP without having to resort to magnetic Strichartz estimates. | |
| Sep 30, 2022 at 20:10 | history | answered | Piero D'Ancona | CC BY-SA 4.0 |