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Inverse coefficient problems for nonlinear parabolic differential equations

โœ Scribed by Yun Hua Ou; Alemdar Hasanov; Zhen Hai Liu


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
226 KB
Volume
24
Category
Article
ISSN
1439-7617

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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.