Timeline for Reference needed for powers of semi-group generators
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 16, 2023 at 16:30 | comment | added | Jochen Glueck | Let $\mathcal{L}$ denote the generator of the heat semigroup on $L^1(\mathbb{R})$. The spectrum of $\mathcal{L}^2$ is $[0,\infty)$, so $\mathcal{L}^2$ does not generate a $C_0$-semigroup. | |
| Dec 16, 2023 at 14:06 | comment | added | matilda | @JochenGlueck- Could you give me a reference for the fact, or perhaps an example? I apologize if this question is too elementary; I don't work in this field. | |
| Dec 16, 2023 at 11:04 | comment | added | Jochen Glueck | I'm having difficulties to understand the question. In general, $\mathcal{L}^2$ does not generate a semigroup, as can be easily seen be considering the spectrum. Apart from this, could you please explain what you mean by "contractive to a higher order"? | |
| Dec 16, 2023 at 2:32 | history | asked | matilda | CC BY-SA 4.0 |