Heat kernels for time-dependent non-symmetric stable-like operators
نویسندگان
چکیده
منابع مشابه
Heat Kernels and Analyticity of Non-symmetric Jump Diffusion Semigroups
Let d > 1 and α ∈ (0, 2). Consider the following non-local and non-symmetric Lévytype operator on Rd: L κ α f (x) := p.v. ∫ Rd ( f (x + z) − f (x)) z) |z|d+α dz, where 0 < κ0 6 κ(x, z) 6 κ1, κ(x, z) = κ(x,−z), and |κ(x, z)−κ(y, z)| 6 κ2|x−y| for some β ∈ (0, 1). Using Levi’s method, we construct the fundamental solution (also called heat kernel) pα(t, x, y) of L κ α , and establish its sharp tw...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2018
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.03.054