Results 51 to 60 of about 5,929 (263)
Hölder continuity of solutions for some Schrödinger equations(一类Schrödinger方程解的Hölder连续性)
Zhejiang Daxue xuebao. Lixue ban, 2000 本文证明了Schrödinger方程Lu≡Au+b·∇u+Vu=0的弱解的Hölder连续性，其中A为二阶散度型一致椭圆算子，|b|2,V∈L1,λ(n ...
CHENYe-min(陈晔愍)
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The Holder continuity of the swirl for the Navier-Stokes motions
, 2012 Applying the DeGiorgi Method the Holder continuity of the swirl is proved for solutions to the Navier-Stokes equations from Lq(0,T;Lp) with 3/p+2/q < 1.
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FEBS Open Bio, EarlyView.In this study, we developed a deep learning method for mitotic figure counting in H&E‐stained whole‐slide images and evaluated its prognostic impact in 13 external validation cohorts from seven different cancer types. Patients with more mitotic figures per mm2 had significantly worse patient outcome in all the studied cancer types except colorectal ...
Joakim Kalsnes +32 more
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Hölder continuity for a drift-diffusion equation with pressure
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2012 We address the persistence of Hölder continuity for weak solutions of the linear drift-diffusion equation with nonlocal pressure u_{t} + b \cdot \mathrm{∇}u− \bigtriangleup u = \mathrm{∇}p,\:\mathrm{∇} \cdot u = 0 on [0,\infty) \times ...
Silvestre, Luis, Vicol, Vlad
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Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
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Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method
Advances in Nonlinear Analysis, 2018 We study the regularity theory of quasi-minimizers of functionals with Lp(⋅)logL{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers ...
Ok Jihoon
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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A Family of High Continuity Subdivision Schemes Based on Probability Distribution
Mehran University Research Journal of Engineering and Technology, 2019 Subdivision schemes are famous for the generation of smooth curves and surfaces in CAGD (Computer Aided Geometric Design). The continuity is an important property of subdivision schemes.
Muhammad Asghar +2 more
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Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Demonstratio MathematicaWe introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
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Some properties of a kind of generalized Teodorescu operator in Clifford analysis
Journal of Inequalities and Applications, 2016 First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Hölder continuity of the generalized Teodorescu operator are discussed.
Liping Wang
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