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Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. (English. French summary) Zbl 1471.45008

Summary: 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 [C. Imbert et al., Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 4, 723–758 (2016; Zbl 1355.35190)].

MSC:

45K05 Integro-partial differential equations
35R09 Integro-partial differential equations

Citations:

Zbl 1355.35190
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References:

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