Abstract: This paper deals with the uniqueness of solution to a class of semi-linear heat-conduction equation in higher dimension on the basis of references [1] and [2]. The main results in this paper are as follows: the solution of problem (A) is unique and stable if it exists.

Key words: smooth ,  ,  , function, mixed ,  ,  , problem, initial ,  ,  , condition, boundary ,  ,  , condition, free
term