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Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems

✍ Scribed by Lü, Qi


Book ID
121358349
Publisher
Institute of Physics
Year
2012
Tongue
English
Weight
243 KB
Volume
28
Category
Article
ISSN
0266-5611

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📜 SIMILAR VOLUMES


Inverse problems for parabolic equations
✍ A.G. Ramm 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Let u t À 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.