Timeline for Global solutions of the wave equation with bounded initial condition
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 19, 2019 at 16:15 | vote | accept | A random mathematician | ||
| Mar 19, 2019 at 15:41 | comment | added | Piero D'Ancona | An exponential bound is easy to prove with Gronwall. Anything better requires much more effort and some structure on the equation. Anyway, the problem of the growth of high order Sobolev norms is nontrivial | |
| Mar 19, 2019 at 14:13 | comment | added | A random mathematician | At what rate the $H^s$ norm could grow in time if it doesn't remain bounded? Could the growth be exponential? | |
| Mar 19, 2019 at 13:58 | comment | added | A random mathematician | Thank you Piero. How about the case when $1-c(x)$ is compactly supported? Can we also get a global bound for all time? | |
| Mar 19, 2019 at 8:22 | history | answered | Piero D'Ancona | CC BY-SA 4.0 |