Comparison theorems between different notions of motion by mean curvature

Giovanni Bellettini; Maurizio Paolini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1995)

  • Volume: 6, Issue: 1, page 45-54
  • ISSN: 1120-6330

Abstract

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In this Note we state some comparison theorems between De Giorgi's definition of motion by mean curvature using the barriers method and the evolutions defined with the methods of Evans-Spruck, Chen-Giga-Goto, Giga-Goto-Ishii-Sato.

How to cite

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Bellettini, Giovanni, and Paolini, Maurizio. "Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 6.1 (1995): 45-54. <http://eudml.org/doc/244244>.

@article{Bellettini1995,
abstract = {In questa Nota presentiamo alcuni teoremi di confronto tra il movimento secondo la curvatura media ottenuto con il metodo delle minime barriere di De Giorgi e i movimenti definiti con i metodi di Evans-Spruck, Chen-Giga-Goto, Giga-Goto-Ishii-Sato.},
author = {Bellettini, Giovanni, Paolini, Maurizio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Nonlinear partial differential equations of parabolic type; Mean curvature flow; Viscosity solutions; Barriers; mean curvature flows; viscosity solutions; barriers method},
language = {ita},
month = {3},
number = {1},
pages = {45-54},
publisher = {Accademia Nazionale dei Lincei},
title = {Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media},
url = {http://eudml.org/doc/244244},
volume = {6},
year = {1995},
}

TY - JOUR
AU - Bellettini, Giovanni
AU - Paolini, Maurizio
TI - Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1995/3//
PB - Accademia Nazionale dei Lincei
VL - 6
IS - 1
SP - 45
EP - 54
AB - In questa Nota presentiamo alcuni teoremi di confronto tra il movimento secondo la curvatura media ottenuto con il metodo delle minime barriere di De Giorgi e i movimenti definiti con i metodi di Evans-Spruck, Chen-Giga-Goto, Giga-Goto-Ishii-Sato.
LA - ita
KW - Nonlinear partial differential equations of parabolic type; Mean curvature flow; Viscosity solutions; Barriers; mean curvature flows; viscosity solutions; barriers method
UR - http://eudml.org/doc/244244
ER -

References

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