All functions are locally s - harmonic up to a small error
نویسندگان
چکیده
We show that we can approximate every function f ∈ C(B1) with a s-harmonic function in B1 that vanishes outside a compact set. That is, s-harmonic functions are dense in C loc. This result is clearly in contrast with the rigidity of harmonic functions in the classical case and can be viewed as a purely nonlocal feature.
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تاریخ انتشار 2014