Global uniform boundary Harnack principle with explicit decay rate and its application
نویسندگان
چکیده
منابع مشابه
Global uniform boundary Harnack principle with explicit decay rate and its application
In this paper, we consider a large class of subordinate Brownian motions X via subordinators with Laplace exponents which are complete Bernstein functions satisfying some mild scaling conditions at zero and at infinity. We first discuss how such conditions govern the behavior of the subordinator and the corresponding subordinate Brownian motion for both large and small time and space. Then we e...
متن کاملBoundary Harnack principle and elliptic Harnack inequality
We prove a scale-invariant boundary Harnack principle for inner uniform domains over a large family of Dirichlet spaces. A novel feature of our work is that our assumptions are robust to time changes of the corresponding diffusions. In particular, we do not assume volume doubling property for the symmetric measure.
متن کاملBoundary Harnack Principle for Δ+δ
For d ≥ 1 and α ∈ (0, 2), consider the family of pseudo differential operators {∆ + b∆α/2; b ∈ [0, 1]} on Rd that evolves continuously from ∆ to ∆ + ∆α/2. In this paper, we establish a uniform boundary Harnack principle (BHP) with explicit boundary decay rate for nonnegative functions which are harmonic with respect to ∆ + b∆α/2 (or equivalently, the sum of a Brownian motion and an independent ...
متن کاملBoundary Harnack Principle for Symmetric Stable Processes
In this paper we study potential-theoretic properties of the symmetric :-stable processes (0<:<2): establishing the boundary Harnack principle for ratios of :-harmonic functions on any open sets, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatness property, and extending earlier results on intrinsic ultracontractivity and the conditional gau...
متن کاملBoundary Harnack principle for ∆+∆α/2
For d ≥ 1 and α ∈ (0, 2), consider the family of pseudo differential operators {∆+b∆; b ∈ [0, 1]} on R that evolves continuously from ∆ to ∆ + ∆. In this paper, we establish a uniform boundary Harnack principle (BHP) with explicit boundary decay rate for nonnegative functions which are harmonic with respect to ∆+b∆ (or equivalently, the sum of a Brownian motion and an independent symmetric α-st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2014
ISSN: 0304-4149
DOI: 10.1016/j.spa.2013.07.007