𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by Sandra Cerrai; Philippe Clément

Publisher
Elsevier Science
Year
2003
Tongue
French
Weight
175 KB
Volume
127
Category
Article
ISSN
0007-4497

No coin nor oath required. For personal study only.

✦ Synopsis

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 boundary conditions involving only second order derivatives.

📜 SIMILAR VOLUMES

Subelliptic Estimates for a Class of Deg
Subelliptic Estimates for a Class of Degenerate Elliptic Integro-Differential Operators
✍ Claudy Cancelier; Bruno Franchi 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 884 KB

## Abstract In this paper we prove subelliptic estimates for operators of the form Δ__~x~ +__ λ^2^ (__x__)__S__ in ℝ__^N^__ = ℝ × ℝ, where the operator __S__ is an elliptic integro ‐ differential operator in ℝ__^N^__ and λ is a nonnegative Lipschitz continuous function.