Geodesic
Estimates of deviations from exact solutions of variational problems with linear growth functionals
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 132-150

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In this paper, we derive estimates of deviations from exact solutions of variational problems with linear growth functionals. Since original variational problem may have no minimizer in a reflexive Banach space, the estimates are presented in terms of the dual problem. We prove the consistency of these estimates and obtain their computationally convenient forms. Bibl. – 36 titles. 
@article{ZNSL_2009_370_a7,
     author = {S. I. Repin},
     title = {Estimates of deviations from exact solutions of variational problems with linear growth functionals},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {132--150},
     publisher = {mathdoc},
     volume = {370},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a7/}
}
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S. I. Repin. Estimates of deviations from exact solutions of variational problems with linear growth functionals. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 132-150. http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a7/