Zhengfang Zhou

activity

20112022

most citedBlow-up problems for the heat equation with a local nonlinear Neumann boundary condition

16 citations · 54 across the 11 of their papers we have counts for

collaborators

Showing 2015 · math.APShow all

2 papers · 2 filters

math.AP2015★ 3 cited

Revisit to Fritz John's paper on the blow-up of nonlinear wave equations

Xin Yang, Zhengfang Zhou

In Fritz John's famous paper (1979), he discovered that for the wave equation $□ u = ∣ u ∣^{p}$ , where $1 < p < 1 + 2$ and $□$ denoting the d'Alembertian, there is no global solut…

math.AP2015★ 16 cited

Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition

Xin Yang, Zhengfang Zhou

This paper estimates the blow-up time for the heat equation $u_{t} = Δ u$ with a local nonlinear Neumann boundary condition: The normal derivative $\partial u / \partial n = u^{q}$ on $Γ_{1…