Liangchuan Wu

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20242026

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math.AP2024

HÃ¶lder regularity and Liouville Theorem for the SchrÃ¶dinger equation with certain critical potentials, and applications to Dirichlet problems

Bo Li, Ji Li, Liangchuan Wu

Let $(X, d, I^¼)$ be a metric measure space satisfying a doubling property with the upper/lower dimension $Q \geq n > 1$ , and admitting an $L^{2}$ -PoincarÃ© inequality. In this article, we…

math.AP2024

Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications

Xuan Thinh Duong, Ji Li, Liangchuan Wu +1

In this article, we establish global-in-time maximal regularity for the Cauchy problem of the classical heat equation $\partial_{t} u (x, t) - I^ u (x, t) = f (x, t)$ with $u (x, 0) = 0$ in a certa…