منابع مشابه
Perturbation by Non-Local Operators
Suppose that d ≥ 1 and 0 < β < α < 2. We establish the existence and uniqueness of the fundamental solution q(t, x, y) to a class of (possibly nonsymmetric) non-local operators L = ∆ + S, where Sf(x) := A(d,−β) ∫ R ( f(x+ z)− f(x)−∇f(x) · z1{|z|≤1} ) b(x, z) |z|d+β dz and b(x, z) is a bounded measurable function on R×R with b(x, z) = b(x,−z) for x, z ∈ R. Here A(d,−β) is a normalizing constant ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2014
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-014-1380-9