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Homogeneous Calderón–Zygmund estimates for a class of second-order elliptic operators

✍ Scribed by Galdi, G. P.; Metafune, G.; Spina, C.; Tacelli, C.

Book ID
126490338
Publisher
World Scientific Publishing Company
Year
2014
Tongue
English
Weight
259 KB
Volume
17
Category
Article
ISSN
0219-1997

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Schauder estimates for a class of second
Schauder estimates for a class of second order elliptic operators on a cube
✍ 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