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On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems

  • Published:2017 Issue:3 Volume:6 Page:319-344
  • ISSN:2163-2480
  • Container-title:Evolution Equations & Control Theory
  • language:en
  • Short-container-title:

Author:

G. Abdulla Ugur, ,Cosgrove Evan,Goldfarb Jonathan

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation

Reference38 articles.

1. On the optimal control of the free boundary problems for the second order parabolic equations. I. Well-posedness and convergence of the method of lines,;U. G. Abdulla;Inverse Problems and Imaging,2013

2. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences,;U. G. Abdulla;Inverse Problems and Imaging,2016

3. Frechet differentability in Besov spaces in the optimal control of parabolic free boundary problems,;U. G. Abdulla;arxiv:1604.00057

4. Zur optimal Steuerung von frien Randwertausgaben,;J. Baumeister;ZAMM,1980

5. The non-characteristic Cauchy problem for a class of equations with time dependence. I. Problem in one space dimension,;J. Bell;SIAM Journal on Mathematical Analysis,1981
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