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Asymptotic behavior of functions, asymptotic series and related topics
1
vote
Asymptotics for repulsive aggregation(-diffusion) equation
(Too long to be a comment.) A hand-waving, physicist calculation of a specific example for $d=3$ goes as follows. It may be put in more rigours terms for higher but not for lower dimensions. Let's tak …
2
votes
Asymptotic of an improper integral
Note that $\displaystyle\int_0^h \left(\log \frac{1}{u}\right)^{\!1/2} \, \mathrm{d}p(u)\rightarrow 0$ as $h\rightarrow 0$, and that $p(h) \left(\log \dfrac{1}{h}\right)^{1/2}\rightarrow 0$ as $h\rig …