Approximation De Fonctions Convexes Sur Un Espace De Mesures Et Applications
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 392-413
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In the first part of this article we recall the definition and a few basic properties of convex functionals defined on a space of bounded measures. In the second part we show several results of approximation of the following type: Although a measure μ cannot be approximated in the sense of the norm by smooth functions, we can find an appropriate sequence of smooth functions which converge weakly to the measure μ, the corresponding value of the functional converging to the value of the functional at μ.This article is part of a series on the existence theory of solution of variational problems of mechanics (perfect plasticity), which is based on a systematic utilization of the methods of convex analysis and the calculus of variations.
Temam, R. Approximation De Fonctions Convexes Sur Un Espace De Mesures Et Applications. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 392-413. doi: 10.4153/CMB-1982-058-7
@article{10_4153_CMB_1982_058_7,
author = {Temam, R.},
title = {Approximation {De} {Fonctions} {Convexes} {Sur} {Un} {Espace} {De} {Mesures} {Et} {Applications}},
journal = {Canadian mathematical bulletin},
pages = {392--413},
year = {1982},
volume = {25},
number = {4},
doi = {10.4153/CMB-1982-058-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-058-7/}
}
TY - JOUR AU - Temam, R. TI - Approximation De Fonctions Convexes Sur Un Espace De Mesures Et Applications JO - Canadian mathematical bulletin PY - 1982 SP - 392 EP - 413 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-058-7/ DO - 10.4153/CMB-1982-058-7 ID - 10_4153_CMB_1982_058_7 ER -
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