An inverse problem for the heat equation
In: Journal of mathematical analysis and applications, Jg. 264 (2001), Heft 2, S. 691-697
Online
academicJournal
- print, 9 ref
Let u, = 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)? 0, ∫T0 a(t)dt < CO. Suppose one measures the flux ux(0, t):= bo(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? These questions are answered in this note.
Titel: |
An inverse problem for the heat equation
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Autor/in / Beteiligte Person: | RAMM, A. G |
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Zeitschrift: | Journal of mathematical analysis and applications, Jg. 264 (2001), Heft 2, S. 691-697 |
Veröffentlichung: | San Diego, CA: Elsevier, 2001 |
Medientyp: | academicJournal |
Umfang: | print, 9 ref |
ISSN: | 0022-247X (print) |
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