Geodesic
An Ill Posed Problem in SBV02(Ω)
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 357-38

Voir la notice de l'article provenant de la source Heldermann Verlag

We study existence of solutions in SBV02(Ω) of a variational problem involving bulk and interfacial energy terms, but with the bulk energy not attaining a minimum at the prescribed boundary value. We obtain an expression for the relaxed energy and give some properties satisfied by the solutions of the relaxed problem.
Classification : 49J45, 49K24, 35E99
Mots-clés : Functions of bounded variation, relaxation 
@article{JCA_2010_17_2_JCA_2010_17_2_a0,
     author = {A. C. Barroso and J. Matias},
     title = {An {Ill} {Posed} {Problem} in {SBV\protect\textsubscript{0}\protect\textsuperscript{2}(\ensuremath{\Omega})}},
     journal = {Journal of convex analysis},
     pages = {357--38},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a0/}
}
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A. C. Barroso; J. Matias. An Ill Posed Problem in SBV02(Ω). Journal of convex analysis, Tome 17 (2010) no. 2, pp. 357-38. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a0/