F. Plinio

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math.AP2026

The Planar Coleman--Gurtin model with Beltrami conductivity

Francesco Di Plinio

This article addresses the planar Coleman--Gurtin heat equation with memory on a bounded domain, with rough anisotropic diffusion $A_{I^} ¼$ , typical of heterogeneous or composite medi…

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 $(I - I^¼ B)^{- 1}$ , where $B$ is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev…