具有非线性边界条件半线性热方程组解的爆破性质

THE BLOW-UP PROPERTIES OF SOLUTIONS TOA SYSTEM OF SEMILINEAR HEAT EQUATIONSWITH NONLINEAR BOUNDARY CONDITIONS

本文考虑一类半线性热方程组的解，给出了解爆破的充分必要条件，爆破速率和爆破点的位置。

This paper deals with the solutions to a system of semilinear heat equations.The necessary and sufficient conditions for the solution to have a finite time blow-up, theexact blow-up rates and localization of blow-up points are given.