Determination Of The Coefficient Of Ux In A Linear Parabolic Equation

    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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