Inverse coefficient problems for nonlinear parabolic differential equations
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This study is related to inverse coefficient problems for a nonlinear parabolic variational inequality with an unknown leading coefficient in the equation for the gradient of the solution. An inverse method, involving minimization of a least-squares cost functional, is developed to identify the unkn
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.