| Title | EXTINCTION PROFILE OF SOLUTIONS OF A SINGULAR DIFFUSION EQUATION |
| Publication Type | Journal Article |
| Year of Publication | 2005 |
| Authors | Hsu, S-Y |
| Secondary Title | Communications in Applied Analysis |
| Volume | 9 |
| Issue | 1 |
| Start Page | 67 |
| Pagination | 93 |
| Date Published | 01/2005 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 35B40, 35K55, 35K65 |
| Abstract | We will prove that if u is the solution of the equation |
| URL | http://www.acadsol.eu/en/articles/9/1/5.pdf |
| Short Title | Extinction Profile of Solutions |
| Refereed Designation | Refereed |
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u > 0, in BR × (0, T ), u(x, 0) = u0(x) on BR, 
where BR = {x ∈ R n : |x| < R}, α > 0 for n = 1, and 0 < α < 4/R for n = 2, and 
then there exists a constant λ > 0 such that the rescaled function 
will converge uniformly on 
to 
as s → ∞ for n = 1. For n = 2, if u0 is radially symmetric, then v(x, s) will converge uniformly on 
for some constant λ > 0 as s → ∞.