Nonlocal operators with singular anisotropic kernels
نویسندگان
چکیده
منابع مشابه
The Dirichlet Problem for Nonlocal Operators with Singular Kernels: Convex and Nonconvex Domains
We study the interior regularity of solutions to the Dirichlet problem Lu = g in Ω, u = 0 in R \ Ω, for anisotropic operators of fractional type
متن کاملConvolution Calderón-Zygmund singular integral operators with rough kernels
A survey of known results in the theory of convolution type Calderón-Zygmund singular integral operators with rough kernels is given. Some recent progress is discussed. A list of remaining open questions is presented.
متن کاملHigh-Order Quadratures for Integral Operators with Singular Kernels
A numerical integration method that has rapid convergence for integrands with known singularities is presented. Based on endpoint corrections to the trapezoidal rule, the quadratures are suited for the discretization of a variety of integral equations encountered in mathematical physics. The quadratures are based on a technique introduced by Rokhlin (Computers Math. Applic. 20, pp. 51-62, 1990)...
متن کاملSingular measure as principal eigenfunction of some nonlocal operators
In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution (λ, φ) of a nonlocal operator. ∫ Ω K(x, y)φ(y)dy + a(x)φ(x) = −λφ(x), where Ω ⊂ Rn is an open bounded connected set, K a nonnegative kernel and a is continuous. We prove that for the generalised principal ei...
متن کاملAnisotropic Nonlocal Means Denoising
It has recently been proved that the popular nonlocal means (NLM) denoising algorithm does not optimally denoise images with sharp edges. Its weakness lies in the isotropic nature of the neighborhoods it uses to set its smoothing weights. In response, in this paper we introduce several theoretical and practical anisotropic nonlocal means (ANLM) algorithms and prove that they are near minimax op...
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: Communications in Partial Differential Equations
سال: 2019
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2019.1651335