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density functional theory 1hohenberg-kohn theorem 1kohn-sham potential 1potential theory 1schrödinger operators 1unique continuation 1

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20242026
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math.AP2024

Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks

Thiago Carvalho Corso, Muhammad Hassan, Abhinav Jha +1

In this paper we derive several (and in many cases sharp) estimates for the -trace norm of harmonic functions along circular arcs. More precisely, we obtain geometry-…