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非线性抛物型方程组的两类边值问题
On Two Kinds of Boundary Value Problem for Nonlinear Parabolic System of Equations
【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。
【Abstract】 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.
【关键词】 抛物型方程组;
边值问题;
先验估计;
【Key words】 parabolic system of equations; boundary value problem; prior estimate;
【Key words】 parabolic system of equations; boundary value problem; prior estimate;
【基金】 河北省自然科学基金
- 【文献出处】 河北轻化工学院学报 , 编辑部邮箱 ,1997年03期
- 【分类号】O175.26
- 【下载频次】13