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math.AP2024
On well-posedness of the space-time fractional nonlinear Schrödinger equation
Mingxuan He, Na Deng, Lu Zhang
We study the Cauhcy problem for space-time fractional nonlinear Schrödinger equation with a general nonlinearity. We prove the local well-posedness of it in fractional Sobolev spa…
math.AP2024
A class of overdetermined problem for fractional Capacity
Lei Qin, Lu Zhang
In this paper, we consider an unconventional overdetermined problem through a property of concavity, which provides some characterizations of balls via Brunn-Minkowski inequalities…