Timeline for Conformal laplacian on asymptotically flat manifolds with boundary
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 30, 2023 at 20:05 | comment | added | Laithy | no, no constraint on $f$. I need any smooth $f$ such that the operator $\Delta_{g,conf} - f$ is injective. | |
| Nov 30, 2023 at 12:57 | comment | added | Romain Gicquaud | Do you impose a sign constraint on $f$? | |
| Nov 28, 2023 at 23:11 | comment | added | Laithy | $f$ can be any smooth function of $p$ and/or $X$ where $p \in M$. So this could be a nonlinear PDE. Constant $f$ doesn't work because, as you said, there can be nontrivial solutions. | |
| Nov 28, 2023 at 18:41 | comment | added | Romain Gicquaud | What are the conditions you intend to put on $f$? If $f$ is a non-zero constant, you would expect non-trivial solutions with exponentially fast decay. | |
| Nov 28, 2023 at 1:42 | history | edited | Laithy | CC BY-SA 4.0 |
added 65 characters in body
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| Nov 28, 2023 at 0:46 | history | edited | Laithy | CC BY-SA 4.0 |
added 272 characters in body; edited title
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| Nov 27, 2023 at 18:09 | history | asked | Laithy | CC BY-SA 4.0 |