RT Journal Article
T1 New Results on the Burgers and the Linear Heat Equations inUnbounded Domains
A1 Díaz Díaz, Jesús Ildefonso
A1 González, S.
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.
PB Springer
SN 1578-7303
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/51426
UL https://hdl.handle.net/20.500.14352/51426
LA eng
NO DGISPI (Spain)
NO EU
DS Docta Complutense
RD 8 abr 2025