K. M. Hui

most citedGlobal and touchdown behaviour of the generalized MEMS device equation

5 citations · 5 across the 2 of their papers we have counts for

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math.AP2009

Another proof for the removable singularities of the heat equation

Kin Ming Hui

We give two different simple proofs for the removable singularities of the heat equation in $(Ω ∖ {x_{0}}) \times (0, T)$ with $n \geq 3$ . We also give a necessary and sufficient…

math.AP2008

Growth rate and extinction rate of a reaction diffusion equation with a singular nonlinearity

Kin Ming Hui

We prove the growth rate of global solutions of the equation $u_{t} = Δ u - u^{- ν}$ in $R^{n} \times (0, \infty)$ , $u (x, 0) = u_{0} > 0$ in $R^{n}$ , where $ν > 0$ is a constant. More precisely for any…

math.AP2008★ 5 cited

Global and touchdown behaviour of the generalized MEMS device equation

Kin Ming Hui

We prove the local and global existence of solutions of the generalized micro-electromechanical system (MEMS) equation $u_{t} = Δ u + λ f (x) / g (u)$ , $u < 1$ , in $Ω \times (0, \infty)$ , $u(x,t)…