Timeline for Use stochastic process to express solution to Laplace equation in the whole space
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 2, 2021 at 4:26 | answer | added | huanglu | timeline score: 0 | |
| Feb 3, 2021 at 19:39 | vote | accept | Jacob Lu | ||
| Feb 3, 2021 at 9:00 | answer | added | Mateusz Kwaśnicki | timeline score: 6 | |
| Feb 3, 2021 at 2:04 | comment | added | Jacob Lu | Thank you for the note @WillieWong! I found in Theorem 4.1.3 there is a further condition for the representation: the Poisson equation should be like $\sum_{i,j}1/2a_{ij}u_{x_ix_j} + \sum_jb_j(x)u_{x_j} - c(x)u = f(x)$, with $c(x) > c_0 > 0.$ It seems the strict positiveness of $c(x)$ is required for the representation. Do we have to use this condition if we simply consider the Laplace equation? | |
| Feb 3, 2021 at 1:05 | comment | added | Willie Wong | In these notes (James Nolen, PDEs and Diffusion Processes), it appears what you are looking for is treated in Chapter 4. | |
| Feb 3, 2021 at 1:00 | history | edited | Willie Wong |
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| Feb 3, 2021 at 0:39 | history | asked | Jacob Lu | CC BY-SA 4.0 |