4 papers
Approximate Sparsity Class and Minimax Estimation
Lucas Z. Zhang
Motivated by the orthogonal series density estimation in , in this project we consider a new class of functions that we call the approximate sparsity class. This new…
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…
The Hadamard variational formula for Riesz capacity and its applications
Lu Zhang
In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variati…
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 spac…