一类半线性热方程的防爆问题

Anti-Blow up Problem for a Class of Semilinear Heat Equations

讨论了燃烧理论中热点火模型的防爆问题，并且用上、下解方法，建立了解在有限时间内爆破的条件，以及整体解的存在性．

The anti-blow up problem of the fuel ignition model of combustion theory is studied here. The conditions of blowing up in a finite time and the existence of global solution were established by using supersolution and subsolution methods.