Well-Posed Problems in the Calculus of Variations

  • T. Zolezzi
Part of the Mathematics and Its Applications book series (MAIA, volume 331)


A scalar minimization problem is called well-posed if there exists a unique solution which either attracts every minimizing sequence (according to a definition firstly isolated by Tikhonov), or depends continuously upon problem’s data (according to the classical notion which goes back to Hadamard), or both.


Optimal Control Problem Differentiability Property Lagrange Problem Nonlinear Optimal Control Problem Lavrentiev Phenomenon 
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • T. Zolezzi
    • 1
  1. 1.Dipartimento di MatematicaUniversità di GenovaGenovaItaly

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