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Estimates of eigenvalues for uniformly elliptic operator of second order

✍ Scribed by Chunlin Qian; Zuchi Chen


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1994
Tongue
English
Weight
286 KB
Volume
10
Category
Article
ISSN
0168-9673

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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