Timeline for Reference request: A multidimensional generalization of the fundamental theorem of calculus
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 14, 2021 at 2:17 | comment | added | Willie Wong | The $p = 2$ case is also well-known for people who work in wave equations (for I hope obvious reasons). For example, it is used lots when studying the spherically symmetric Einstein-scalar-field model in mathematical relativity; I'd say every other paper there uses this formula either explicitly or implicitly. | |
| Jan 13, 2021 at 20:51 | comment | added | Iosif Pinelis | @TerryTao : Thank you for the references. | |
| Jan 13, 2021 at 20:50 | comment | added | Iosif Pinelis | @ZachTeitler : Thank you for the reference. | |
| Jan 13, 2021 at 17:30 | comment | added | Terry Tao | Correction: that paper is by Carbery, Christ, and Wright. The general case is implicit in a followup paper mathscinet.ams.org/mathscinet-getitem?mr=1928871 of Katz, Krop, and Maggioni in 2002, proved by "a simple application of the fundamental theorem of calculus". | |
| Jan 13, 2021 at 17:10 | comment | added | Terry Tao | The $p=2$ case is also stated in the proof of Lemma 6.2 of this 1999 paper of Carbery and Wright: mathscinet.ams.org/mathscinet-getitem?mr=1683156 , with the three word proof "By Stokes' theorem". | |
| Jan 13, 2021 at 16:52 | history | answered | Zach Teitler | CC BY-SA 4.0 |