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math.AP2021
Joint space-time analyticity of mild solutions to the Navier-Stokes equations
Cong Wang, Yu Gao, Xiaoping Xue
In this paper, we show the optimal decay rate estimates of the space-time derivatives and the joint space-time analyticity of solutions to the Navier-Stokes equations. As it is kno…
math.AP2021
Optimal decay rates and space-time analyticity of solutions to the Patlak-Keller-Segel equations
Cong Wang, Yu Gao, Xiaoping Xue
Based on some elementary estimates for the space-time derivatives of the heat kernel, we use a bootstrapping approach to establish the optimal decay rates for the $L^q(\mathbb{R}^d…