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math.AP2026
Rigidity for two-phase overdetermined problems in
Andrea Bisterzo, Shigeru Sakaguchi
In this paper, we study rigidity phenomena associated with a class of overdetermined two-phase problems on the -dimensional sphere . Specifically, we analyze the s…
math.AP2026
Interaction between nonlinear diffusion and mean curvature of a surface with initial discontinuities
Shigeru Sakaguchi
We consider the Cauchy problems for a class of nonlinear diffusion equations where each initial data is given by a characteristic function of an open set in the whole Euclidean…