Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of functions of bounded variation of second order.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
921--929
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Université d'Orléans, UFR Sciences, MAPMO UMR 7349, Route de Chartres, BP 6759, 45067 Orléans cedex 2, France, maitine.bergounioux@univ-orleans.fr
Bibliografia
- Adams, R.A. (1978) Sobolev Spaces. Academic Press, Springer Verlag.
- Ambrosio, L., Fusco, N. and Pallara, D. (2000) Functions of Bounded Variation and Free Discontinuity Problems. Oxford Mathematical Monographs, Oxford University Press.
- Attouch, H., Buttazzo, G. and Michaille, G. (2006) Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization. MPS-SIAM Series on Optimization.
- Bergounioux, M. and Piffet, L. (2010) A secondo-order model for image denoising. Set Valued and Variational Analysis, 18 (3-4), 277-306.
- Biergert, M. (2009) On traces of Sobolev functions on the boundary of extension domains. Proc. of AMS, 137 (12), 4169-4176.
- Bredies, K., Kunisch, K. and Pock, T. (2010) Total Generalized Variation. SIAM J. Imaging Sci. 3 (3), 492-526.
- Demengel, F. (1984) Fonctions à hessien borné. Annales de l’institut Fourier, 34 (2), 155-190.
- Evans, L.C., Gariepy, R. (1992) Measure Theory and Fine Properties of Functions. CRC Press,
- Piffet, L. (2010) Modèles variationnels pour l’extraction de textures 2D. PhD Thesis, Orléans.
- Ziemer, W.P. (1980) Weakly Differentiable Functions. Springer.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATC-0009-0018