Xin Yang

activity

20182021

collaborators

3 papers

math.AP2021

Smooth solutions to the heat equation which are nowhere analytic in time

Xin Yang, Chulan Zeng, Qi S. Zhang

The existence of smooth but nowhere analytic functions is well-known (du Bois-Reymond, Math. Ann., 21(1):109-117, 1883). However, smooth solutions to the heat equation are usually…

math.AP2019

Prevention of blowup via Neumann heat kernel

Xin Yang, Zhengfang Zhou

Consider the heat equation $u_{t} - Δ u = 0$ on a bounded $C^{2}$ domain $Ω$ in $R^{n} (n \geq 2)$ with any positive initial data. If a superlinear radiation law $\frac{\partial u}{\…

math.AP2018

Lifespan estimates via Neumann heat kernel

Xin Yang, Zhengfang Zhou

This paper studies the lower bound of the lifespan $T^{*}$ for the heat equation $u_{t} = Δ u$ in a bounded domain $Ω \subset R^{n} (n \geq 2)$ with positive initial data $u_{0}$ a…