39 citations · 44 across the 18 of their papers we have counts for
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Hlder continuity for stochastic fractional heat equation with colored noise
Kexue Li
In this paper, we consider semilinear stochastic fractional heat equation . The Gaussian noise $η_…
No local solutions for semilinear fractional heat equations
Kexue Li
We study the Cauchy problem for the semilinear fractional heat equation with non-negative initial value and locally L…
A characteristic of local existence for fractional heat equations in Lebesgue spaces
Kexue Li
In this paper, we consider the fractional heat equation with Dirichlet boundary conditions on the ball , where $\triangle…
Maximum principles for a time-space fractional diffusion equation
Junxiong Jia, Kexue Li
In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…
Effects of the noise level on stochastic fractional heat equations
Kexue Li
We consider the stochastic fractional heat equation on with Dirichlet boundary conditions, where denotes the space-t…
Explosive solutions of parabolic stochastic partial differential equations with Lvy noise
Kexue Li, Jigen Peng, Junxiong Jia
In this paper, we study the explosive solutions to a class of parbolic stochastic semilinear differential equations driven by a L$\acute{\mbox{e}}$vy type noise. The sufficient con…