4 papers · 1 filter
Giga-Kohn-type results for the fully fractional heat equation
Yannick Sire, Juncheng Wei, Ke Wu +1
We consider the semilinear fully fractional heat equation \[ (\partial_t-Î)^Ïu = |u|^{p-1}u \quad \text{in } \mathbb{R}^n \times \mathbb{R}_{-}, \qquad 0 < Ï< 1. \] For $n\leq 2…
Global oscillatory solutions for the Yang-Mills heat flow
Yannick Sire, Juncheng Wei, Youquan Zheng +1
We investigate the long-time dynamics for the global solution of the -equivariant Yang-Mills heat flow (YMHF) with structure group in space dimension . For a clas…
Finite time blow up solutions for heat equations with Neumann boundary conditions on
Xiang Fang, Juncheng Wei, Youquan Zheng
We consider the nonlinear heat equations with Neumann boundary conditions $$ \begin{cases} u_{t}=Îu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x}…
Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…