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Optimal control for parabolic systems with free boundaries — Existence of optimal controls, approximation results

  • Optimal Control: Partial Differential Equations
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Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

Abstract

The paper is concerned with optimal control problems for systems governed by multidimensional two-phase parabolic free boundary value problems of Stefan type. In the case of nonlinear process equations and nonlinear boundary conditions existence of optimal controls enclosed in these conditions and convergence of approximating optimal control problems including smoothed coefficients are shown.

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References

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Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warszawa, Poland

    Marek Niezgódka & Irena Pawłow

Authors
  1. Marek Niezgódka
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  2. Irena Pawłow
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Editor information

K. Iracki K. Malanowski S. Walukiewicz

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© 1980 Springer-Verlag

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Niezgódka, M., Pawłow, I. (1980). Optimal control for parabolic systems with free boundaries — Existence of optimal controls, approximation results. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036420

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  • DOI: https://doi.org/10.1007/BFb0036420

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

  • eBook Packages: Springer Book Archive

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