非光滑系数抛物方程弱解的边界唯一延拓性

his paper investigates the following parabolic equation: $$u_t(x,t)-mathrm{div}(A(x)nabla u(x,t))+V(x)u(x,t)=0,(x,t) in Omega times(0,T),$$ with non-smoothness conefficients and singular potentals ,were $A(x)$ satisfies elliptic condition and $V(x)$ is a Kato potential.The boundary doubling properties and the boundary unique continuation theorems for the weak solution $u$ have been derived.