As the solutions obtained with different methods appears with differently forms,the uniqueness of solution is needed to be verified to ensure the results achieved are the answer to problems exactly no matter how different the expre.

This paper presents a boundary integral equation of second order linear parabolic equations and proves uniqueness of solution of the boundary integral equation.

In this paper,we study the uniqueness of solution to semilinear heatconduction equation in higher dimension with the method of integration.