Approximate smoothings of locally Lipschitz functionals

Aleksander Ćwiszewski; Wojciech Kryszewski

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 2, page 289-320
  • ISSN: 0392-4041

Abstract

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The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in R N , is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.

How to cite

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Ćwiszewski, Aleksander, and Kryszewski, Wojciech. "Approximate smoothings of locally Lipschitz functionals." Bollettino dell'Unione Matematica Italiana 5-B.2 (2002): 289-320. <http://eudml.org/doc/196264>.

@article{Ćwiszewski2002,
abstract = {The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in $\mathbb\{R\}^\{N\}$, is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.},
author = {Ćwiszewski, Aleksander, Kryszewski, Wojciech},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {289-320},
publisher = {Unione Matematica Italiana},
title = {Approximate smoothings of locally Lipschitz functionals},
url = {http://eudml.org/doc/196264},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Ćwiszewski, Aleksander
AU - Kryszewski, Wojciech
TI - Approximate smoothings of locally Lipschitz functionals
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/6//
PB - Unione Matematica Italiana
VL - 5-B
IS - 2
SP - 289
EP - 320
AB - The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in $\mathbb{R}^{N}$, is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.
LA - eng
UR - http://eudml.org/doc/196264
ER -

References

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