Results 71 to 80 of about 1,008,634 (300)
Hölder continuity for parabolic Anderson equation with non-Gaussian noise
Based on the existence, uniqueness and uniform boundedness of the mild solution of the parabolic Anderson equation driven by a non-Gaussian noise, we derive the spatial and temporal Hölder continuity of the mild solution.
Cui, Jianbo +3 more
core +1 more source
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity [PDF]
We study a priori estimates for a class of non-negative local weak solution to the weighted fast diffusion equation $u_t = |x|^{\gamma} \nabla\cdot (|x|^{-\beta} \nabla u^m)$, with $0 < m
M. Bonforte, N. Simonov
semanticscholar +1 more source
In this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a
Pakeeza Ashraf +6 more
doaj +1 more source
Spatial biology in cancer epigenetics
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley +1 more source
This paper is dedicated to several original (weighted) Hölder continuity results for Riemann-Liouville fractional integrals of weighted integrable functions.
L. Bourdin
semanticscholar +1 more source
Hölder continuity of Keller-Segel equations of porous medium type coupled to fluid equations [PDF]
We consider a coupled system consisting of a degenerate porous medium type of Keller–Segel system and Stokes system modeling the motion of swimming bacteria living in fluid and consuming oxygen.
Yun-Sung Chung +3 more
semanticscholar +1 more source
Hölder continuity of proper holomorphic mappings [PDF]
We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries.
Berteloot, François
core
Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order
Bass RF, Kaßmann M. Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order. Communications in Partial Differential Equations.
Kaßmann, Moritz ; https://orcid.org/ +1 more
core +1 more source
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source

