一类抛物型方程的第一边值问题解的唯一性

The First Boundary Value of Parabolic Partial Differential Equations

通过分部积分法、Cauchy不等式和Gronwall不等式来研究一类抛物型方程的解的分布情况,通过上述方法得出抛物型方程的能量模估计,最后由该能量模估计直接说明混合问题解的唯一性.

In this paper, the author studies the distribution of the solutions of the parabolic partial differential equations. Using Cauchy inequation and Gronwall inequation, we can get the energy inequality. Then we prove the uniqueness of this problem.