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一类变系数抛物型方程两相自由边界问题
A Two-Phase Free Boundary Problem of Variable Coefficient Parabolic Equations
【摘要】 研究了一类变系数抛物型方程两相 Stefan 问题,通过对方程作适当的积分变换将其化为积分方程.再利用 Schauder 不动点定理证明了方程解的存在性和唯一性定理.
【Abstract】 A two-phase Stefan problem of variable coefficient parabolic equations is discussed, then it is transformed into an integral equation by using suitable integral transformation and the existence and unique theorem of the solution are proved by applying Schauder fixed point theorem.
【关键词】 自由边界;
极大值原理;
Schauder不动点定理;
【Key words】 free boundary; maximum principle; Schauder fixed point theorem.;
【Key words】 free boundary; maximum principle; Schauder fixed point theorem.;
- 【文献出处】 哈尔滨工程大学学报 ,JOURNAL OF HARBIN ENGINEERING UNIVERSITY , 编辑部邮箱 ,1999年03期
- 【分类号】O175.26
- 【被引频次】3
- 【下载频次】85