We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
2
This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.
本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。
3
The extinction phenomenon of solution is one of the important qualities of nonlinear parabolic partial differential equation, as it explains comprehensive realistic backgrounds.