Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in Rd and Applications to the Ornstein–Uhlenbeck Semigroup
In this paper, we improve some estimates from [7] for solutions of the heat equation with initial conditions that are large ‘at infinity’ and employ them to obtain suitable estimates on the solutions of the Ornstein–Uhlenbeck semigroup [solutions of ut − Δu = αx · ∇u] for the same class of unbounded...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/88700 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/88700 |
| Access Level: | acceso abierto |
| Palavra-chave: | Heat equation Large solutions Estimates Ornstein–Uhlenbeck semigroup Asymptotic behaviour Blow-up Ciencias 12 Matemáticas |
| Resumo: | In this paper, we improve some estimates from [7] for solutions of the heat equation with initial conditions that are large ‘at infinity’ and employ them to obtain suitable estimates on the solutions of the Ornstein–Uhlenbeck semigroup [solutions of ut − Δu = αx · ∇u] for the same class of unbounded data. |
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