Kexue Li

activity

20142026

most citedStochastic delay fractional evolution equations driven by fractional Brownian motion

39 citations · 44 across the 18 of their papers we have counts for

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Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016

No local $L^{1}$ solutions for semilinear fractional heat equations

Kexue Li

We study the Cauchy problem for the semilinear fractional heat equation $u_{t} = △^{α /2} u + f (u)$ with non-negative initial value $u_{0} \in L^{q} (R^{n})$ and locally L…

math.AP2016

A characteristic of local existence for fractional heat equations in Lebesgue spaces

Kexue Li

In this paper, we consider the fractional heat equation $u_{t} = △^{α /2} u + f (u)$ with Dirichlet boundary conditions on the ball $B_{R} \subset R^{d}$ , where $\triangle…

math.AP2016★ 2 cited

Maximum principles for a time-space fractional diffusion equation

Junxiong Jia, Kexue Li

In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…

No local L1 solutions for semilinear fractional heat equations

A characteristic of local existence for fractional heat equations in Lebesgue spaces

Maximum principles for a time-space fractional diffusion equation

No local $L^{1}$ solutions for semilinear fractional heat equations