On an inverse problem: Recovery of non-smooth solutions to backward heat equation
نویسندگان
چکیده
منابع مشابه
An Inverse Problem for the Heat Equation
Let ut = uxx − q(x)u, 0 ≤ x ≤ 1, t > 0, u(0, t) = 0, u(1, t) = a(t), u(x, 0) = 0, where a(t) is a given function vanishing for t > T , a(t) 6≡ 0, ∫ T 0 a(t)dt < ∞. Suppose one measures the flux ux(0, t) := b0(t) for all t > 0. Does this information determine q(x) uniquely? Do the measurements of the flux ux(1, t) := b(t) give more information about q(x) than b0(t) does? The above questions are ...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2012
ISSN: 0307-904X
DOI: 10.1016/j.apm.2011.11.020