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Ill-posedness of sublinear minimization problems

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Publication:450180
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DOI10.1016/J.JOEMS.2011.09.004zbMath1246.49022OpenAlexW2010237055MaRDI QIDQ450180

J. Herrera, D. Rodríguez-Gómez

Publication date: 13 September 2012

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2011.09.004


zbMATH Keywords

bounded variationtexturenonconvex regularizationChambolle's projection


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Regularity of solutions in optimal control (49N60)





Cites Work

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  • Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization)
  • Existence theory for a new class of variational problems
  • On a class of ill-posed minimization problems in image processing
  • Weak lower semicontinuous envelope of functionals defined on a space of measures
  • Integral representation of nonconvex functionals defined on measures
  • New lower semicontinuity results for nonconvex functionals defined on measures
  • A Mathematical Study of the Relaxed Optical Flow Problem in the Space $BV (\Omega)$




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