5 citations · 14 across the 8 of their papers we have counts for
13 papers · 1 filter
Refined blowup analysis and nonexistence of Type II blowups for an energy critical nonlinear heat equation
Kelei Wang, Juncheng Wei
We consider the energy critical semilinear heat equation $$ \left\{\begin{aligned} &\partial_t u-Δu =|u|^{\frac{4}{n-2}}u &\mbox{in } {\mathbb R}^n\times(0,T),\\ &u(x,0)=u_0(x), \e…
Lipschitz property of bistable or combustion fronts and its applications
Kelei Wang
For a class of reaction-diffusion equations describing propagation phenomena, we prove that for any entire solution , the level set is a Lipschitz graph in the time di…
A generalized one phase Stefan problem as a vanishing viscosity limit
Kelei Wang
We study the vanishing viscosity limit of a nonlinear diffusion equation describing chemical reaction interface or the spatial segregation interface of competing species, where the…
Stability of the saddle solutions for the Allen-Cahn equation
Yong Liu, Kelei Wang, Juncheng Wei
We are concerned with the saddle solutions of the Allen-Cahn equation constructed by Cabré and Terra \cite{C,C2} in . These so…
Axially symmetric solutions of Allen-Cahn equation with finite Morse index
Changfeng Gui, Kelei Wang, Juncheng Wei
In this paper we study axially symmetric solutions of Allen-Cahn equation with finite Morse index. It is shown that there does not exist such a solution in dimensions between a…
Half space theorem for the Allen-Cahn equation and related problems
Francois Hamel, Yong Liu, Pieralberto Sicbaldi +2
In this paper we obtain rigidity results for a bounded non-constant entire solution of the Allen-Cahn equation in , whose level set is contained in a ha…