Nonlinear orthogonal projection

Ewa Dudek; Konstanty Holly

Annales Polonici Mathematici (1994)

  • Volume: 59, Issue: 1, page 1-31
  • ISSN: 0066-2216

Abstract

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We discuss some properties of an orthogonal projection onto a subset of a Euclidean space. The special stress is laid on projection's regularity and characterization of the interior of its domain.

How to cite

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Ewa Dudek, and Konstanty Holly. "Nonlinear orthogonal projection." Annales Polonici Mathematici 59.1 (1994): 1-31. <http://eudml.org/doc/262397>.

@article{EwaDudek1994,
abstract = {We discuss some properties of an orthogonal projection onto a subset of a Euclidean space. The special stress is laid on projection's regularity and characterization of the interior of its domain.},
author = {Ewa Dudek, Konstanty Holly},
journal = {Annales Polonici Mathematici},
keywords = {projection's regularity and interior of its domain; regularity; metric space; orthogonal projection; euclidean space; local Lipschitz condition},
language = {eng},
number = {1},
pages = {1-31},
title = {Nonlinear orthogonal projection},
url = {http://eudml.org/doc/262397},
volume = {59},
year = {1994},
}

TY - JOUR
AU - Ewa Dudek
AU - Konstanty Holly
TI - Nonlinear orthogonal projection
JO - Annales Polonici Mathematici
PY - 1994
VL - 59
IS - 1
SP - 1
EP - 31
AB - We discuss some properties of an orthogonal projection onto a subset of a Euclidean space. The special stress is laid on projection's regularity and characterization of the interior of its domain.
LA - eng
KW - projection's regularity and interior of its domain; regularity; metric space; orthogonal projection; euclidean space; local Lipschitz condition
UR - http://eudml.org/doc/262397
ER -

References

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  11. [11] V. L. Klee, Remarks on nearest points in normed linear spaces, in: Proc. Colloquium on Convexity (Copenhagen, 1965), Kobenhavns Univ. Mat. Inst., Copenhagen, 1967, 168-176. 
  12. [12] S. G. Krantz and H. R. Parks, Distance to C k hypersurfaces, J. Differential Equations 40 (1981), 116-120. 
  13. [13] J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod and Gauthier-Villars, Paris, 1969. 
  14. [14] T. Motzkin, Sur quelques propriétés caractéristiques des ensembles convexes, Atti R. Accad. Lincei Rend. (6) 21 (1935), 562-567. Zbl0011.41105
  15. [15] W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1974. Zbl0278.26001
  16. [16] J. Serrin, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A 264 (1969), 413-496. Zbl0181.38003

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