Díaz Díaz, Jesús IldefonsoGonzález, S.2023-06-202023-06-2020051578-7303https://hdl.handle.net/20.500.14352/51426We 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.engjournal articlehttp://www.rac.es/ficheros/doc/00177.pdfhttp://www.springer.com/open access517.9Viscous Burgers equationlinear heat equationRobin boundary conditionsstationary Burgers equationEcuaciones diferenciales1202.07 Ecuaciones en Diferencias