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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…
math.AP2023
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 s…