Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
| dc.creator | Montgomery-Smith, Stephen J. | |
| dc.date | 1997-04-07 | |
| dc.date | 1999-12-03 | |
| dc.date.accessioned | 2026-07-07T09:08:26Z | |
| dc.date.available | 2026-07-07T09:08:26Z | |
| dc.description | Let $u(x,t)$ be the solution of the Schrödinger or wave equation with $L_2$ initial data. We provide counterexamples to plausible conjectures involving the decay in $t$ of the $\BMO$ norm of $u(t,\cdot)$. The proofs make use of random methods, in particular, Brownian motion. (Since this paper was written, the unsolved problem remaining in this paper has been solved by Keel and Tao.) | |
| dc.description | Also available at http://www.math.missouri.edu/~stephen/preprints/ | |
| dc.identifier | https://arxiv.org/abs/math/9704212 | |
| dc.identifier | http://arxiv.org/abs/math/9704212 | |
| dc.identifier | Duke Math J. 91 (1998), 393-408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150719 | |
| dc.subject | Functional Analysis | |
| dc.subject | 35J10, 35L05, 42A45, 42B30, 60J65 | |
| dc.title | Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations | |
| dc.type | text |