New results on the Burgers and the linear heat equations in unbounded domains.

J.I. Díaz; S. González

RACSAM (2005)

  • Volume: 99, Issue: 2, page 219-225
  • ISSN: 1578-7303

Abstract

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We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 +∞), and the solution is unique without prescribing its behaviour at infinity. We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.

How to cite

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Díaz, J.I., and González, S.. "New results on the Burgers and the linear heat equations in unbounded domains.." RACSAM 99.2 (2005): 219-225. <http://eudml.org/doc/41013>.

@article{Díaz2005,
abstract = {We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 +∞), and the solution is unique without prescribing its behaviour at infinity. We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.},
author = {Díaz, J.I., González, S.},
journal = {RACSAM},
keywords = {Ecuaciones parabólicas; Ecuación del calor; Ecuaciones diferenciales elípticas; Unicidad; Dominios no acotados; unbounded intervals},
language = {eng},
number = {2},
pages = {219-225},
title = {New results on the Burgers and the linear heat equations in unbounded domains.},
url = {http://eudml.org/doc/41013},
volume = {99},
year = {2005},
}

TY - JOUR
AU - Díaz, J.I.
AU - González, S.
TI - New results on the Burgers and the linear heat equations in unbounded domains.
JO - RACSAM
PY - 2005
VL - 99
IS - 2
SP - 219
EP - 225
AB - We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 +∞), and the solution is unique without prescribing its behaviour at infinity. We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.
LA - eng
KW - Ecuaciones parabólicas; Ecuación del calor; Ecuaciones diferenciales elípticas; Unicidad; Dominios no acotados; unbounded intervals
UR - http://eudml.org/doc/41013
ER -

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