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Schauder estimates for sub-elliptic equations

✍ Scribed by Cristian E. Gutiérrez; Ermanno Lanconelli


Publisher
Springer
Year
2009
Tongue
English
Weight
280 KB
Volume
9
Category
Article
ISSN
1424-3199

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Schauder estimates for a class of second
✍ Sandra Cerrai; Philippe Clément 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 175 KB

We consider a class of second order elliptic operators on a d-dimensional cube S d . We prove that if the coefficients are of class C k+δ (S d ), with k = 0, 1 and δ ∈ (0, 1), then the corresponding elliptic problem admits a unique solution u belonging to C k+2+δ (S d ) and satisfying non-standard b