Optimal control for free boundary problems

  • Avner Friedman
Part I Plenary Lectures
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 97)

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References

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    H.W. Alt, Stromungen durch inhomogene poruse median mit freien rand, J. Reine Angew. Math., 305(1979), 89–115.Google Scholar
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    V. Barbu, Optimal control of variational inequalities, Pittman, London, 1984.Google Scholar
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    V. Barbu and A. Friedman, Optimal control of a free boundary for variable domains, to appear.Google Scholar
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    H. Brezis, D. Kinderlehrer and G. Stampacchia, Sur une nouvelle formulation de probleme de l'ecoulement a travers une digue, C.R. Acad. Sci. Paris, 287(1978), 711–714.Google Scholar
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    J. Carrillo-Menendez and M. Chipot, On the dam problem, J. Diff. Eqs., 45(1982), 234–271.Google Scholar
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    E. DiBenedetto and A. Friedman, Periodic behavior for the evolutionary dam problem and related free boundary problems, Comm. P.D.E., to appear.Google Scholar
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    A. Friedman, Variational Principles and Free Boundary Problems, Wiley, New York, 1982.Google Scholar
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    A. Friedman, Optimal control for parabolic variational inequalities, SIAM J. Control and Optim., to appear.Google Scholar
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    A. Friedman, S. Huang and J. Yong, Bang-bang optimal control for the dam problem, to appear.Google Scholar
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    A. Friedman, S. Huang and J. Yong, Optimal periodic control for the two-phase Stefan problem, to appear.Google Scholar

Copyright information

© International Federation for Information Processing 1987

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Purdue UniversityUSA

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