Timeline for Finite speed of propagation of wave equation
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 26, 2014 at 21:49 | vote | accept | student | ||
| Jun 26, 2014 at 21:48 | vote | accept | student | ||
| Jun 26, 2014 at 21:49 | |||||
| Jun 19, 2014 at 17:01 | answer | added | Christian Remling | timeline score: 6 | |
| Jun 19, 2014 at 13:27 | answer | added | Carlo Beenakker | timeline score: 1 | |
| Jun 19, 2014 at 1:38 | comment | added | student | @ChristianRemling If the boundary condition is $Bu|_{\partial U} = g, g$ non-zero, then $u(t, x) = 0$ will not even solve the wave equation. As far as I can see, the boundary condition matters. | |
| Jun 19, 2014 at 1:36 | history | edited | student | CC BY-SA 3.0 |
added 34 characters in body
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| Jun 19, 2014 at 0:55 | comment | added | student | @ChristianRemling I am not sure that the local derivation works always. For example, consider the boundary condition $Bu|_{\partial U} = g$, $g$ non-zero. Here the solution has to have infinite speed of propagation necessarily. I feel that the usual proof works fine up to the Dirichlet or Neumann condition, but not sure about other boundary conditions. | |
| Jun 18, 2014 at 23:25 | review | First posts | |||
| Jun 19, 2014 at 0:25 | |||||
| Jun 18, 2014 at 23:17 | comment | added | Christian Remling | I don't see how a boundary condition would help you. You can show finite propagation speed locally, with an energy estimate. | |
| Jun 18, 2014 at 23:06 | history | asked | student | CC BY-SA 3.0 |