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

RACSAM (2005)

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

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topDíaz, 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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