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Inverse parabolic problems and discrete orthogonality

โœ Scribed by D. S. Gilliam; J. R. Lund; C. F. Martin


Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
897 KB
Volume
59
Category
Article
ISSN
0029-599X

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Inverse problems for parabolic equations
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

Let u t ร€ 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.