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math.AP2021
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
We study the exterior and interior Bernoulli problems for the half Laplacian and the interior Bernoulli problem for the spectral half Laplacian. We concentrate on the existence and…
math.AP2021
Power concavity and Dirichlet heat flow
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We show that log-concavity is the weakest power concavity preserved by the Dirichlet heat flow in -dimensional convex domains, where (indeed, we prove that starting wit…