Schauder estimates for a class of second order elliptic operators on a cube
نویسندگان
چکیده
We consider a class of second order elliptic operators on a d-dimensional cube Sd . We prove that if the coefficients are of class Ck+δ(Sd ), with k = 0,1 and δ ∈ (0,1), then the corresponding elliptic problem admits a unique solution u belonging to Ck+2+δ(Sd) and satisfying non-standard boundary conditions involving only second order derivatives. 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved. MSC: 35B45; 35B65; 35J25
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تاریخ انتشار 2003