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- W3005306190 abstract "Let $$dge 1$$ . Consider a stable-like operator of variable order $$begin{aligned} {mathcal {A}}f(x)&=int _{{mathbb {R}}^{d}backslash {0}} left[ f(x+h)-f(x)-mathbf {1}_{{|h|le 1}}hcdot nabla f(x)right] n(x,h)|h|^{-d-alpha (x)}mathrm{d}h, end{aligned}$$ where $$0<inf _{x}alpha (x)le sup _{x}alpha (x)<2$$ and n(x, h) satisfies $$begin{aligned} n(x,h)=n(x,-h),quad 0<kappa _{1}le n(x,h)le kappa _{2}, quad forall x,hin {mathbb {R}}^{d}, end{aligned}$$ with $$kappa _{1}$$ and $$kappa _{2}$$ being some positive constants. Under some further mild conditions on the functions n(x, h) and $$alpha (x)$$ , we show the uniqueness of solutions to the martingale problem for $${mathcal {A}}$$ ." @default.
- W3005306190 created "2020-02-14" @default.
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- W3005306190 date "2020-02-06" @default.
- W3005306190 modified "2023-09-24" @default.
- W3005306190 title "Uniqueness in Law for Stable-Like Processes of Variable Order" @default.
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- W3005306190 doi "https://doi.org/10.1007/s10959-020-00988-0" @default.
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