TY  - JOUR
AB  - We study harmonic functions associated to systems of stochastic differential equations of the form dXi t = Ai1( Xt-)dZ1 t + center dot center dot center dot + Aid (Xt-)dZd t, i. {1,..., d}, where Z j t are independent one-dimensional symmetric stable processes of order aj. (0, 2), j. {1,..., d}. In this article we prove Holder regularity of bounded harmonic functions with respect to solutions to such systems.
DA  - 2020
DO  - 10.1007/s00209-020-02459-y
KW  - Jump processes
KW  - Harmonic functions
KW  - Holder continuity
KW  - Support theorem
KW  - Anisotropy
KW  - Nonlocal Operators
LA  - eng
M2  - 1135–1155
PY  - 2020
SN  - 0025-5874
SP  - 1135–1155-
T2  - Mathematische Zeitschrift
TI  - Regularity of solutions to anisotropic nonlocal equations
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29418965
Y2  - 2024-11-22T08:53:18
ER  -