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All issues Volume 6 (2001) ESAIM: COCV, 6 (2001) 649-674 References
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Issue
ESAIM: COCV
Volume 6, 2001
Page(s) 649 - 674
DOI https://doi.org/10.1051/cocv:2001127
Published online 15 August 2002
  1. R.A. Adams, Sobolev Spaces. Academic Press, New York (1975). [Google Scholar]
  2. W. Alt, The Lagrange-Newton method for infinite-dimensional optimization problems. Numer. Funct. Anal. Optim. 11 (1990) 201-224. [CrossRef] [MathSciNet] [Google Scholar]
  3. M. Bergounioux, K. Ito and K. Kunisch, Primal-dual strategy for constrained optimal control problems. SIAM J. Control Optim. 35 (1997) 1524-1543. [CrossRef] [MathSciNet] [Google Scholar]
  4. R. Dautray and J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5: Evolution Problems I. Springer-Verlag, Berlin (1992). [Google Scholar]
  5. A.L. Dontchev, Local analysis of a Newton-type method based on partial linearization, in Proc. of the AMS-SIAM Summer Seminar in Applied Mathematics on Mathematics and Numerical Analysis: Real Number Algorithms, edited by J. Renegar, M. Shub and S. Smale. AMS, Lectures in Appl. Math. 32 (1996) 295-306. [Google Scholar]
  6. A.L. Dontchev, W.W. Hager, A.B. Poore and B. Yang, Optimality, stability, and convergence in optimal control. Appl. Math. Optim. 31 (1995) 297-326. [CrossRef] [MathSciNet] [Google Scholar]
  7. H. Goldberg and F. Tröltzsch, On the Lagrange-Newton-SQP method for the optimal control of semilinear parabolic equations. Optim. Methods Softw. 8 (1998) 225-247. [CrossRef] [MathSciNet] [Google Scholar]
  8. M. Heinkenschloss and F. Tröltzsch, Analysis of the Lagrange-SQP-Newton Method for the Control of a Phase-Field Equation. Control Cybernet. 28 (1999) 177-211. [MathSciNet] [Google Scholar]
  9. M. Hintermüller, A primal-dual active set algorithm for bilaterally control constrained optimal control problems. Spezialforschungsbereich F 003, Optimierung und Kontrolle, Projektbereich Optimierung und Kontrolle, Bericht No. 146 (submitted). [Google Scholar]
  10. M. Hinze and K. Kunisch, Second order methods for time-dependent fluid flow. Spezialforschungsbereich F 003, Optimierung und Kontrolle, Projektbereich Optimierung und Kontrolle, Bericht No. 165 (submitted). [Google Scholar]
  11. K. Ito and K. Kunisch, Augmented Lagrangian-SQP-Methods for nonlinear optimal control problems of tracking type. SIAM J. Control Optim. 34 (1996) 874-891. [CrossRef] [MathSciNet] [Google Scholar]
  12. K. Kunisch and A. Rösch, Primal-dual strategy for parabolic optimal control problems. Spezialforschungsbereich F 003, Optimierung und Kontrolle, Projektbereich Optimierung und Kontrolle, Bericht No. 154 (submitted). [Google Scholar]
  13. H.V. Ly, K.D. Mease and E.S. Titi, Some remarks on distributed and boundary control of the viscous Burgers equation. Numer. Funct. Anal. Optim. 18 (1997) 143-188. [CrossRef] [MathSciNet] [Google Scholar]
  14. S.M. Robinson, Strongly regular generalized equations. Math. Oper. Res. 5 (1980) 43-62. [CrossRef] [MathSciNet] [Google Scholar]
  15. R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam, Stud. Math. Appl. (1979). [Google Scholar]
  16. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Springer-Verlag, New York, Appl. Math. Sci. 68 (1988). [Google Scholar]
  17. F. Tröltzsch, Lipschitz stability of solutions to linear-quadratic parabolic control problems with respect to perturbations. Dynam. Contin. Discrete Impuls. Systems 7 (2000) 289-306. [MathSciNet] [Google Scholar]
  18. F. Tröltzsch, On the Lagrange-Newton-SQP method for the optimal control of semilinear parabolic equations. SIAM J. Control Optim. 38 (1999) 294-312. [CrossRef] [MathSciNet] [Google Scholar]
  19. S. Volkwein, Mesh-Independence of an Augmented Lagrangian-SQP Method in Hilbert Spaces and Control Problems for the Burgers Equation, Ph.D. Thesis. Department of Mathematics, Technical University of Berlin (1997). [Google Scholar]
  20. S. Volkwein, Augmented Lagrangian-SQP techniques and optimal control problems for the stationary Burgers equation. Comput. Optim. Appl. 16 (2000) 57-81. [CrossRef] [MathSciNet] [Google Scholar]
  21. S. Volkwein, Distributed control problems for the Burgers equation. Comput. Optim. Appl. 18 (2001) 133-158. [Google Scholar]
  22. S. Volkwein, Optimal control of a phase-field model using the proper orthogonal decomposition. Z. Angew. Math. Mech. 81 (2001) 83-97. [Google Scholar]

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