非古典热方程解的存在唯一性

The Existence and Uniqueness of Solution of a Non-classical Heat Equations

考虑半无界域上一维非古典热方程ｕｔ＝ａ（ｑ→（ｔ））ｕｘｘ古典解的存在性和唯一性，其中ｑ→（ｔ）＝（ｕ（ｘ０，ｔ），ｕｘ（ｘ１，ｔ），…，ｎｕｘｎ（ｘｎ，ｔ））．

The existence and uniqueness of classical solution of an one dimensional non classical heat equation:u t=a(q→(t))u xx on semi unbounded regions are considered, whereq→(t)=(u(x 0,t),ux(x 1,t),…, nux n(x n,t)).