Results 41 to 50 of about 38,177 (303)
, 2015 We establish $C^{\sigma+\alpha}$ interior estimates for concave nonlocal fully nonlinear equations of order $\sigma\in(0,2)$ with rough kernels. Namely, we prove that if $u\in C^{\alpha}(\mathbb R^n)$ solves in $B_1$ a concave translation invariant ...
Serra, Joaquim
core +2 more sources
Wave-scattering from a gently curved surface [PDF]
, 2016 We study wave scattering from a gently curved surface. We show that the recursive relations, implied by shift invariance, among the coefficients of the perturbative series for the scattering amplitude allow to perform an infinite resummation of the ...
Bimonte, Giuseppe
core +3 more sources
Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts
, 2018 We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order $\sigma\in (0,2)$ with rough and non-symmetric kernels, and drift terms. We also study such linear equations with only measurable coefficients in
Dong, Hongjie +2 more
core +1 more source
Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
Journal of Function Spaces and Applications, 2013 The aim of this paper is to get the boundedness of a class of sublinear operators with rough kernels on weighted Morrey spaces under generic size conditions, which are satisfied by most of the operators in classical harmonic analysis. Applications to the
Shaoguang Shi, Zunwei Fu
doaj +1 more source
Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces
Mathematics, 2019 In this article, the boundedness of the generalized parametric Marcinkiewicz integral operators M Ω , ϕ , h , ρ ( r ) is considered. Under the condition that Ω is a function in L q ( S n - 1 ) with q &
Mohammed Ali, Oqlah Al-Refai
doaj +1 more source
, 2016 We discuss stochastic calculus for large classes of Gaussian processes, based on rough path analysis. Our key condition is a covariance measure structure combined with a classical criterion due to Jain and Monrad [Ann. Probab. 11 (1983) 46-57].
Friz, Peter K. +3 more
core +1 more source
Animal Research and One Health, EarlyView., 2023 In the present study, we created the weight gain models with Min and Yorkshire pigs and conducted the metagenomics and metabolomics of colon contents and transcriptomics of colon tissue. Further, we revealed the characteristics and functions of the colonic microbiota in Min and Yorkshire pigs and analyzed their interactions with the host. Overall, this
Xiaoyu Huang +6 more
wiley +1 more source
Parabolic Marcinkiewicz integrals on product spaces and extrapolation
Open Mathematics, 2016 In this paper, we study the the parabolic Marcinkiewicz integral MΩ,hρ1,ρ2${\cal M}_{\Omega, h}^{{\rho _{1,}}{\rho _2}}$ on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels.
Ali Mohammed, Al-Dolat Mohammed
doaj +1 more source
Liang you shipin ke-ji, 2020 The increase of white immature kernel decrease the percentage of whole grain and lower the inspection grade. In the occurrence rate of white immature kernel, especially in those of milky white rice kernel and in immature base rice kernel, differences ...
Hisashi Tanno
doaj +1 more source
Rough singular integrals associated to polynomial curves
Journal of Inequalities and Applications, 2022 In this paper, the authors establish the boundedness of singular integral operators associated to polynomial curves as well as the related maximal operators with rough kernels Ω ∈ H 1 ( S n − 1 ) $\Omega \in H^{1}({\mathrm{S}}^{n-1})$ and h ∈ Δ γ ( R + )
Yulin Zhang, Feng Liu
doaj +1 more source