On the structure of symmetric 2 x 2 gradients.

Pablo Pedregal

RACSAM (2003)

  • Volume: 97, Issue: 1, page 119-131
  • ISSN: 1578-7303

Abstract

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A way of geometrically representing symmetric 2 × 2-gradients is proposed, and a general theorem characterizing sets of gradients is proved. We believe this perspective may help in understanding the structure of gradients and visualizing it. Several non-trivial examples are discussed.

How to cite

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Pedregal, Pablo. "On the structure of symmetric 2 x 2 gradients.." RACSAM 97.1 (2003): 119-131. <http://eudml.org/doc/40964>.

@article{Pedregal2003,
abstract = {A way of geometrically representing symmetric 2 × 2-gradients is proposed, and a general theorem characterizing sets of gradients is proved. We believe this perspective may help in understanding the structure of gradients and visualizing it. Several non-trivial examples are discussed.},
author = {Pedregal, Pablo},
journal = {RACSAM},
keywords = {Cálculo de variaciones; Minimización; Gradientes; Cuasiconvexidad; integral functional; geometric properties of gradients; vector problems; quasiconvexity; weak lower semicontinuity; Young measure minimizer},
language = {eng},
number = {1},
pages = {119-131},
title = {On the structure of symmetric 2 x 2 gradients.},
url = {http://eudml.org/doc/40964},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Pedregal, Pablo
TI - On the structure of symmetric 2 x 2 gradients.
JO - RACSAM
PY - 2003
VL - 97
IS - 1
SP - 119
EP - 131
AB - A way of geometrically representing symmetric 2 × 2-gradients is proposed, and a general theorem characterizing sets of gradients is proved. We believe this perspective may help in understanding the structure of gradients and visualizing it. Several non-trivial examples are discussed.
LA - eng
KW - Cálculo de variaciones; Minimización; Gradientes; Cuasiconvexidad; integral functional; geometric properties of gradients; vector problems; quasiconvexity; weak lower semicontinuity; Young measure minimizer
UR - http://eudml.org/doc/40964
ER -

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