Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 4, pp. 667-677.

Nous obtenons des estimées de Schauder pour une classe générale d’équations linéaires intégro-différentielles. Ces estimées sont utilisées pour obtenir un résultat d’existence globale pour une équation scalaire de Burgers non-locale [6].

We obtain Schauder estimates for a general class of linear integro-differential equations. The estimates are applied to a scalar non-local Burgers equation and complete the global well-posedness results obtained in [6].

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DOI : 10.5802/afst.1581
Imbert, Cyril 1 ; Jin, Tianling 2 ; Shvydkoy, Roman 3

1 Department of Mathematics and Applications, CNRS & École Normale Supérieure (Paris), 45 rue d’Ulm, 75005 Paris, France
2 Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong and Department of Computing and Mathematical Sciences, California Institute of Technology, 1200 E. California Blvd., MS 305-16, Pasadena, CA 91125, USA
3 Department of Mathematics, Statistics, and Computer Science, M/C 249, University of Illinois, Chicago, IL 60607, USA
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     title = {Schauder estimates for an integro-differential equation with applications to a nonlocal {Burgers} equation},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {667--677},
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Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman. Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 4, pp. 667-677. doi : 10.5802/afst.1581. http://www.numdam.org/articles/10.5802/afst.1581/

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