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On the Spectrum of a Class of Second Order Periodic Elliptic Differential Operators

✍ Scribed by L. Friedlander


Publisher
Springer
Year
2002
Tongue
English
Weight
57 KB
Volume
229
Category
Article
ISSN
0010-3616

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Schauder estimates for a class of second
✍ Sandra Cerrai; Philippe ClΓ©ment πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 French βš– 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