Timeline for Cauchy Problem and stochastic representation for discontinuous initial data
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 16, 2015 at 16:51 | comment | added | JSG | My question is "Where can I read more about ...", so it would be great if you could give some references for learning and understanding what you just wrote :-) | |
| Mar 16, 2015 at 9:28 | comment | added | Andrew | What exactly do you want to know? If $f$ is bounded and $L$ is nice enough then the solution can be represented via the Poisson potential as usual. In all the points of continuity of $f$ there will be limit $u(x,t)\to f(x)$ as $t\to0+$. The proof is the same as in the case of continuous initial function. | |
| Mar 16, 2015 at 0:31 | history | edited | JSG | CC BY-SA 3.0 |
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| Mar 14, 2015 at 21:24 | history | edited | JSG | CC BY-SA 3.0 |
added 45 characters in body
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| Mar 14, 2015 at 21:23 | comment | added | Andrew | What is $L$? $~~~~$ | |
| Mar 14, 2015 at 19:37 | history | asked | JSG | CC BY-SA 3.0 |