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math.AP2024
Quantitative Sobolev regularity of quasiregular maps
Francesco Di Plinio, A. Walton Green, Brett D. Wick
We quantify the Sobolev space norm of the Beltrami resolvent , where is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev…
math.AP2024
On the dimension of observable sets for the heat equation
A. Walton Green, Kévin Le Balc'h, Jérémy Martin +1
We consider the heat equation on a bounded domain in with Dirichlet boundary conditions. The primary aim of this paper is to prove that the heat equation is ob…