A generation theorem for kinetic equations with non-contractive boundary operators

Bertrand Lods

doi:10.1016/S1631-073X(02)02533-5

A generation theorem for kinetic equations with non-contractive boundary operators
[Un résultat de génération pour des équations cinétiques soumises à des conditions frontières non contractives]

Bertrand Lods ¹

¹ Département de mathématiques, Université de Franche-Comté, 16, route de Gray, 25030 Besancon, France

Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 655-660.

Résumé
Abstract

Dans cette Note, on présente quelques résultats de génération de c₀-semigroupe dans les espaces L_p pour l'opérateur d'advection soumis à des conditions aux limites non contractives, couvrant par exemple les conditions frontières de type Maxwell.

In this Note, we present some c₀-semigroup generation results in L_p-spaces for the advection operator submitted to non-contractive boundary conditions covering in particular the classical Maxwell-type boundary conditions.

Reçu le : 2002-04-04
Accepté le : 2002-07-23
Publié le : 2002-09-11

DOI : 10.1016/S1631-073X(02)02533-5

Affiliations des auteurs :

Bertrand Lods ¹

¹ Département de mathématiques, Université de Franche-Comté, 16, route de Gray, 25030 Besancon, France

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     title = {A generation theorem for kinetic equations with non-contractive boundary operators},
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     language = {en},
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Bertrand Lods. A generation theorem for kinetic equations with non-contractive boundary operators. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 655-660. doi : 10.1016/S1631-073X(02)02533-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02533-5/

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