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Determination of an unknown function in a parabolic equation with an overspecified condition

✍ Scribed by John M. Chadam; Hong-Ming Yin

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
448 KB
Volume
13
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we consider the inverse problems of identifying some space‐dependent unknown coefficients in parabolic equations subject to initial boundary value conditions along with an overspecified condition at the final time t = T. We use the overspecified information to transform the problems into non‐linear parabolic equations involving a functional of the solution with respect to the time variable. This transformation allows us to establish existence theorems for these inverse problems by employing the Schauder fixed‐point theorem.

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