Let be a uniformly elliptic operator in divergence form in a bounded domain Ω. We consider the fractional nonlocal equations
Keywords: Fractional Laplacian, Fractional divergence form elliptic operator, Schauder estimates, Fundamental solution, Semigroup language, Extension problem
@article{AIHPC_2016__33_3_767_0, author = {Caffarelli, Luis A. and Stinga, Pablo Ra\'ul}, title = {Fractional elliptic equations, {Caccioppoli} estimates and regularity}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {767--807}, publisher = {Elsevier}, volume = {33}, number = {3}, year = {2016}, doi = {10.1016/j.anihpc.2015.01.004}, zbl = {1381.35211}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2015.01.004/} }
TY - JOUR AU - Caffarelli, Luis A. AU - Stinga, Pablo Raúl TI - Fractional elliptic equations, Caccioppoli estimates and regularity JO - Annales de l'I.H.P. Analyse non linéaire PY - 2016 SP - 767 EP - 807 VL - 33 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2015.01.004/ DO - 10.1016/j.anihpc.2015.01.004 LA - en ID - AIHPC_2016__33_3_767_0 ER -
%0 Journal Article %A Caffarelli, Luis A. %A Stinga, Pablo Raúl %T Fractional elliptic equations, Caccioppoli estimates and regularity %J Annales de l'I.H.P. Analyse non linéaire %D 2016 %P 767-807 %V 33 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2015.01.004/ %R 10.1016/j.anihpc.2015.01.004 %G en %F AIHPC_2016__33_3_767_0
Caffarelli, Luis A.; Stinga, Pablo Raúl. Fractional elliptic equations, Caccioppoli estimates and regularity. Annales de l'I.H.P. Analyse non linéaire, Volume 33 (2016) no. 3, pp. 767-807. doi : 10.1016/j.anihpc.2015.01.004. http://www.numdam.org/articles/10.1016/j.anihpc.2015.01.004/
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