【摘要】 利用算子半群理论研究了一类具有奇异系数的半线性热方程初值问题的非负整体解,证明了该初值问题在三种情况下均没有非负整体解,即解在某个有限时间发生blow-up.更多还原

【Abstract】 By means of the theory of operator, the nonnegative global solution of the intial value problem of semi-linear heat eqution with singular coffivients is studied, and it is proved that no-existence of the nonnegative global solution for three cases,namely,the blow-up problem of solutions will occur in the finite time.更多还原