WIAS Preprint No. 490, (1999)

Convergence results for a nonlinear parabolic control problem


Authors

  • Arnăutu, Viorel
  • Hömberg, Dietmar
    ORCID: 0000-0001-9460-5729
  • Sokołowski, Jan

2010 Mathematics Subject Classification

  • 49J20 35K05

Keywords

  • parabolic control problem, phase transitions, finite-element approximation

DOI

10.20347/WIAS.PREPRINT.490

Abstract

We investigate a general control problem for a class of nonlinear parabolic evolution equations. Applications are related to solid-solid and solid-liquid phase transitions.

We prove compactness of the solution operator, existence of optimal controls and show convergence of the finite-dimensional approximate control problem to the original one.

Appeared in

  • Numer. Funct. Anal. Optim., 20 (1999), No. 9/10, pp. 805-824

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