Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (1): 23-32.
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Yu Wenhuan
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Abstract: 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.
Yu Wenhuan. ON DETERMINATION OF SOURCE TERMS IN THE 2ND ORDER LINEAR PARITAL DIFFERENTIAL EQUATIONS[J].Acta mathematica scientia,Series B, 1993, 13(1): 23-32.
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