Abstract
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.
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Zolezzi, T. (1995). Well-Posed Problems in the Calculus of Variations. In: Lucchetti, R., Revalski, J. (eds) Recent Developments in Well-Posed Variational Problems. Mathematics and Its Applications, vol 331. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8472-2_11
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DOI: https://doi.org/10.1007/978-94-015-8472-2_11
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