Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds
We prove that solutions to the Boltzmann equation without cut-off satisfying pointwise bounds on some observables (mass, pressure, and suitable moments) enjoy a uniform bound in L∞ in the case of hard potentials. As a consequence, we derive C∞ estimates and decay estimates for all derivatives, condi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/489308 |
| Acceso en línea: | https://hdl.handle.net/2072/489308 |
| Access Level: | acceso abierto |
| Palabra clave: | Boltzmann Equation 51 |
| Sumario: | We prove that solutions to the Boltzmann equation without cut-off satisfying pointwise bounds on some observables (mass, pressure, and suitable moments) enjoy a uniform bound in L∞ in the case of hard potentials. As a consequence, we derive C∞ estimates and decay estimates for all derivatives, conditional to these macroscopic bounds. Our L∞ estimates are uniform in the limit s 1 and hence we recover the same results also for the Landau equation. |
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