Determination of a control parameter in a parabolic partial differential equation
John R. CannonDepartment of Mathematics, Lamar University, Beaumont, TX 77710Yanping LinDepartment of Applied Mathematics, University of Waterloo, Waterloo, CanadaN2L 3G1Shingmin WangDivision of Mathematics and Computer Science, Northeast Missouri State University, Kirksville, MO 63501
1991en
ABI
Abstract
Abstract The authors consider in this paper the inverse problem of finding a pair of functions ( u, p ) such that where F, f, E, s , α i , β i , γ i , g i , i = 1, 2, are given functions. The existence and uniqueness of a smooth global solution pair ( u, p ) which depends continuously upon the data are demonstrated under certain assumptions on the data.
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Cited by 40 references