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- W2001260077 abstract "For T a positive number, suppose QT = {(x, t): 0 0, U-2) -Q@, t) = g(t), O<t<T. (1.3) where the source term S(U) is unknown and is, in fact, to be determined from the “overspecified data,” 40, t) =.f(t), O<t<T. (1.4) That is, the problem (1.1) through (I .3) . is completely determined in the sense that if S(U) and g(t) are given then there exists a unique solution II = u(x, t), (provided S and g satisfy certain hypotheses). Then condition (1.4) represents additional information from which we aim to show S(U) can be determined or at least approximated. It follows, for example, from (1.4) and (1.1) that" @default.
- W2001260077 created "2016-06-24" @default.
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- W2001260077 date "1980-06-01" @default.
- W2001260077 modified "2023-10-16" @default.
- W2001260077 title "An inverse problem for an unknown source in a heat equation" @default.
- W2001260077 cites W2912891074 @default.
- W2001260077 doi "https://doi.org/10.1016/0022-247x(80)90095-5" @default.
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