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

  • Marek Niezgódka
  • Irena Pawłow
Optimal Control: Partial Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)


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.


Weak Solution Optimal Control Problem Free Boundary Weak Formulation Parabolic System 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Marek Niezgódka
    • 1
  • Irena Pawłow
    • 1
  1. 1.Systems Research InstitutePolish Academy of SciencesWarszawaPoland

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