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Determination of a control parameter in a parabolic partial differential equation

Published online by Cambridge University Press:  17 February 2009

J. R. Cannon ,
Yanping Lin  and
Shingmin Wang
J. R. Cannon
Affiliation:
Department of Mathematics, Lamar University, Beaumont, TX 77710.
Yanping Lin
Affiliation:
Department of Applied Mathematics, University of Waterloo, Waterloo, CanadaN2L 3G1.
Shingmin Wang
Affiliation:
Division of Mathematics and Computer Science, Northeast Missouri State University, Kirksville, MO 63501.
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Abstract

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The authors consider in this paper the inverse problem of finding a pair of functions (u, p) such that

where F, f, E, s, αi, βi, γi, gi, 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 2 , October 1991 , pp. 149 - 163
Copyright
Copyright © Australian Mathematical Society 1991

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