Timeline for Friedrichs mollifiers and Sobolev spaces
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Mar 2, 2021 at 20:25 | history | edited | B K | CC BY-SA 4.0 |
Added paragraph on the uniform boundedness in Sobolev spaces
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Mar 2, 2021 at 20:04 | comment | added | B K | @CarlosEsparza: $(1-\Delta)^{r/2}$ is defined using the functional calculus for unbounded symmetric operators. Here $-\Delta$ is non-negative and has a canonical self-adjoint extension called Friedrichs extension. For the uniform boundedness on the Sobolev spaces I'll add a pagragraph to my answer. | |
Mar 1, 2021 at 19:41 | comment | added | Carlos Esparza | But I don't see how you get uniform boundedness in $\epsilon$... | |
Mar 1, 2021 at 19:40 | comment | added | Carlos Esparza | So you're basically using that the operator $(1 - \Delta)^{r/2}$ (defined by some functional calculus I suppose) is an isometry between $W^r$ and $L^2$? | |
Mar 1, 2021 at 19:37 | history | bounty ended | Carlos Esparza | ||
Feb 21, 2021 at 20:20 | history | answered | B K | CC BY-SA 4.0 |