Timeline for Reference request: Boundary behavior and quantitative lower bound for the principal eigenfunction of an elliptic PDE in a ball $B(r)$
Current License: CC BY-SA 3.0
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| Feb 20, 2014 at 11:46 | history | edited | username | CC BY-SA 3.0 |
edited to answer the question better
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| Feb 20, 2014 at 10:57 | history | undeleted | username | ||
| Feb 20, 2014 at 10:57 | history | deleted | username | via Vote | |
| Feb 7, 2014 at 12:11 | history | made wiki | Post Made Community Wiki by username | ||
| Feb 5, 2014 at 13:47 | history | edited | username | CC BY-SA 3.0 |
added 127 characters in body
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| Feb 5, 2014 at 13:33 | history | edited | username | CC BY-SA 3.0 |
reworded to match the edit of the question by the author
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| Feb 5, 2014 at 13:24 | comment | added | Juhana Siljander | Thanks for the answer. I did not do the calculations, but I think your end result is exactly of the correct form I am looking for, isn't it? Your solutions is basically $$u=C(1-x/R)$$ at the boundary, i.e. it behaves like the distance function, right? Naturally, the scaling depends on the normalization and when you normalize $u(0)=1$, the scaling in $R$ changes correspondingly. | |
| Feb 5, 2014 at 10:54 | history | answered | username | CC BY-SA 3.0 |