The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems.

Luis Alvarez; Jesús Ildefonso Díaz

RACSAM (2003)

  • Volume: 97, Issue: 1, page 83-88
  • ISSN: 1578-7303

Abstract

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In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support.

How to cite

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Alvarez, Luis, and Díaz, Jesús Ildefonso. "The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems.." RACSAM 97.1 (2003): 83-88. <http://eudml.org/doc/40958>.

@article{Alvarez2003,
abstract = {In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support.},
author = {Alvarez, Luis, Díaz, Jesús Ildefonso},
journal = {RACSAM},
keywords = {Ecuaciones en derivadas parciales no lineales; Ecuaciones parabólicas; Ecuaciones diferenciales elípticas; Medios porosos; Tiempo de espera; Solución débil; Ecuación de difusión; nondiffusion of the support property; discretized elliptic problems},
language = {eng},
number = {1},
pages = {83-88},
title = {The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems.},
url = {http://eudml.org/doc/40958},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Alvarez, Luis
AU - Díaz, Jesús Ildefonso
TI - The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems.
JO - RACSAM
PY - 2003
VL - 97
IS - 1
SP - 83
EP - 88
AB - In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support.
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Ecuaciones parabólicas; Ecuaciones diferenciales elípticas; Medios porosos; Tiempo de espera; Solución débil; Ecuación de difusión; nondiffusion of the support property; discretized elliptic problems
UR - http://eudml.org/doc/40958
ER -

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