New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
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 pre...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2005 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51426 |
| Online Access: | https://hdl.handle.net/20.500.14352/51426 |
| Access Level: | Open access |
| Keyword: | 517.9 Viscous Burgers equation linear heat equation Robin boundary conditions stationary Burgers equation Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Summary: | 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. |
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