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Certain inverse problems for parabolic equations

✍ Scribed by M. V. Klibanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
346 KB
Volume
30
Category
Article
ISSN
0001-4346

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Inverse problems for parabolic equations
✍ A.G. Ramm πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 118 KB

Let u t Γ€ u xx = h(t) in 0 6 x 6 p, t P 0. Assume that u(0, t) = v(t), u(p, t) = 0, and u(x, 0) = g(t). The problem is: what extra data determine the three unknown functions {h, v, g} uniquely? This question is answered and an analytical method for recovery of the above three functions is proposed.