Inverse problem for the nonlinear heat equation with the final overdetermination
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولAn 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: Mathematical and Computer Modelling
سال: 1995
ISSN: 0895-7177
DOI: 10.1016/0895-7177(95)00098-m