Title

Determination Of The Coefficient Of Ux In A Linear Parabolic Equation

Authors

Authors

J. R. Cannon;S. Perezesteva

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

Mathematics, Applied; Physics, Mathematical

Abstract

We investigate the local existence, uniqueness and continuous dependence of a pair (u(x, 1), p(t)) satisfying u(t) = u(xx) + p(t)u(x) on (0, 1) x (0, T], u(x, 0) = u0(x), u(0, t) = f1(t), u(1, t) = f2(t) and m(t) = integral-b(t)/0 u(x, t) dx. The problem is reduced to finding a fixed point of a nonlinear operator in a closed subset of a Banach space.

Journal Title

Inverse Problems

Volume

10

Issue/Number

3

Publication Date

1-1-1994

Document Type

Article

Language

English

First Page

521

Last Page

531

WOS Identifier

WOS:A1994NR82400002

ISSN

0266-5611

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