摘要
首先给出边值问题的条件，然后讨论抛物算子Ｌｕ与Ｌ１ｕ的某些性质，给出问题Ｄ与问题Ｎ的解的先验估计，最后利用参数开拓法和Ｓｃｈａｕｄｅｒ不动点定理证明两类边值问题的可解性。
The conditions of boundary value problem are first given.Then some properties of parabolic operators Lu and L1u are discussed,and the prior estimates of solutions for problem D and problem N are given.Finally we prove the solvability of two kinds of boundary value problems by using the method of parameter extension and Schauder fixedpoint theorem.
基金
河北省自然科学基金
关键词
抛物型方程组
边值问题
先验估计
parabolic system of equations
boundary value problem
prior estimate
