4 papers
On -Hardy inequalities for magnetic -Laplacians
Yi C. Huang, Xinhang Tong
In this paper we revisit the remainder terms of -Hardy inequalities for magnetic -Laplacians. In particular, we will give an integral representation of the sharp constant f…
On the exponential convergence to equilibrium for ultrafast diffusion equations
Yi C. Huang, Xinhang Tong
We propose a simple proof of the exponential convergence to equilibrium for ultrafast diffusion equations in . Our approach, based on the direct use of Poincaré ineq…
On a minimisation problem related to the solenoidal uncertainty
Yi C. Huang, Tohru Ozawa, Xinhang Tong
We study Hamamoto's expanding square argument towards a 1-D minimisation problem related to the sharp solenoidal uncertainty principle. Working in the right function space, we reca…
Thermodynamic Uncertainty Relation for -divergence Entropy Production
Yi C. Huang, Xinhang Tong
We propose an -divergence extension of the Hasegawa-Nishiyama thermodynamic uncertainty relation. More precisely, we introduce the stochastic thermodynamic entropy production ba…