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- Title
Simultaneous Identification of Two Time Independent Coefficients in a Nonlinear Phase Field System.
- Authors
Gnanavel, S.; Barani Balan, N.; Balachandran, K.
- Abstract
In this article, we study a simultaneous reconstruction of two time independent parameters in a nonlinear phase field system by final overdetermination data. To this end, the given problem is transformed into an optimization problem by using the optimal control framework; then the existence of the minimizer for the control functional is established. Further, we deduce the necessary condition for the minimizer of the control functional. Finally we derive the stability estimate for two coefficients with the upper bound given by some Sobolev norms of the final measurement of the solutions.
- Subjects
COEFFICIENTS (Statistics); PARAMETERS (Statistics); NONLINEAR functions; MATHEMATICAL optimization; ESTIMATION theory
- Publication
Journal of Optimization Theory & Applications, 2014, Vol 160, Issue 3, p992
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-012-0251-y