Timeline for Boundary condition for elliptic problems and domain decomposition
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 6, 2019 at 18:02 | vote | accept | CommunityBot | ||
| Dec 30, 2018 at 0:56 | comment | added | Josiah Park | Yes. The question of existence is already answered because of the existence of a solution with added conditions. One is free to change the constant $K$ that appears in the added constraints so there are in fact multiple solutions and so some additional constraints are needed generally to ensure uniqueness. As for general divergence form operators, on the first page of the paper there is mention of work by Olenik in this direction. | |
| Dec 29, 2018 at 21:28 | comment | added | user60665 | Thank you. In that paper, the author uses a Neumann boundary condition at the interface. Is it really necessary to impose that to obtain wellposedness? Also has the case of general elliptic operators in divergence form been studied? | |
| Dec 29, 2018 at 20:21 | history | answered | Josiah Park | CC BY-SA 4.0 |