数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 23-32.
喻文焕
Yu Wenhuan
摘要： In this paper we consider the existence of the solution to the inverse problem identifying the function pair (q, u) satisfying
∂tu-∂4(aij(x,t)∂ju)+b4(x,t)∂iu+c(x,t)u=q(x,t), ∂vu|∂Ω=0 u|t=0=g(x), u|t=T=z(x).
Using the fixed point theory, we obtain the definite answer to the above-mentioned problem under milder conditions. Similar results are also obtained for the elliptic and hyperbolic operators, respectively.