Timeline for Let $g$ be the heat kernel. Are there constants $C_1, C_2>0$ such that $\frac{g(t_1, \cdot)}{t_1} \le C_1 \frac{g(C_2 t_2, \cdot)}{\sqrt{t_2}}$?
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| when toggle format | what | by | license | comment | |
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| Jun 5, 2023 at 16:42 | vote | accept | Analyst | ||
| Jun 5, 2023 at 16:42 | comment | added | Medo | Also, $\lambda$defined this way depends on $t_{1}$ and $t_{2}$. So, it does not make sense to let $C_{1}$ or $C_{2}$ depend on $\lambda$. | |
| Jun 5, 2023 at 16:17 | answer | added | Iosif Pinelis | timeline score: 6 | |
| Jun 5, 2023 at 16:10 | comment | added | Aleksei Kulikov | If I didn't make mistake, taking $x = 0$, $t_2 = 2t_1$ and sending $t_1$ to zero gives a counterexample. | |
| Jun 5, 2023 at 16:02 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Spacing.
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| Jun 5, 2023 at 15:51 | history | edited | Analyst | CC BY-SA 4.0 |
deleted 22 characters in body
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| Jun 5, 2023 at 15:46 | history | asked | Analyst | CC BY-SA 4.0 |