关于确定抛物型方程一阶导数系数的一类反问题(Ⅱ)

An Inverse Problem Determining the Coefficient of the First Order Derivertive in the Paraboli Equation u_t-△u+bu_(x_n)=f

本文讨论了抛物型方程u_l-△u+bu_(x_n)=f按第一初边值问题确定一阶导数系数的反问题,给出了解的存在性、唯一性和稳定性定理。

In this paper, the inverse problem determining the coefficient of the first order derivative in the parabolic equation u_t-△u+bu_(x_n)= f under the first initial-boundary value condition is discussed. We prove the existence, uniqueness theorms, and the stability theorem is given.