Results 11 to 20 of about 899,485 (384)
Regularity of Stochastic Kinetic Equations [PDF]
, 2016 We consider regularity properties of stochastic kinetic equations with multiplicative noise and drift term which belongs to a space of mixed regularity ($L^p$-regularity in the velocity-variable and Sobolev regularity in the space-variable).
Fedrizzi, Ennio +3 more
core +7 more sources
Regularity Theory for Elliptic PDE [PDF]
, 2022 This manuscript aims to provide a self-contained introduction to the regularity theory for elliptic PDE, focusing on the main ideas rather than proving all results in their greatest generality.
Xavier Fernández-Real, Xavier Ros-Oton
semanticscholar +1 more source
Sleep, 2023 Abnormally short and long sleep are associated with premature mortality, and achieving optimal sleep duration has been the focus of sleep health guidelines.
D. Windred +6 more
semanticscholar +1 more source
Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]
Communications in Partial Differential Equations, 2020 We develop a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of the Laplacian and the fractional Laplacian, and we provide structural ...
Stefano Biagi +3 more
semanticscholar +1 more source
Learning Temporal Regularity in Video Sequences [PDF]
Computer Vision and Pattern Recognition, 2016 Perceiving meaningful activities in a long video sequence is a challenging problem due to ambiguous definition of 'meaningfulness' as well as clutters in the scene.
Mahmudul Hasan +4 more
semanticscholar +1 more source
Measuring sleep regularity: Theoretical properties and practical usage of existing metrics.
Sleep, 2021 STUDY OBJECTIVES Sleep regularity predicts many health-related outcomes. Currently, however, there is no systematic approach to measuring sleep regularity.
D. Fischer, E. Klerman, A. Phillips
semanticscholar +1 more source
Regularity for minimizers for functionals of double phase with variable exponents [PDF]
Advances in Nonlinear Analysis, 2019 The functionals of double phase type H(u):=∫|Du|p+a(x)|Du|qdx, (q>p>1, a(x)≥0) $$\begin{array}{} \displaystyle {\cal H} (u):= \int \left(|Du|^{p} + a(x)|Du|^{q} \right) dx, ~~ ~~~(q \gt p \gt 1,~~a(x)\geq 0) \end{array}$$ are introduced in the epoch-
M. Ragusa, A. Tachikawa
semanticscholar +1 more source
A Regularity Criterion in Weak Spaces to Boussinesq Equations [PDF]
Mathematics, 2020 In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz ...
R. Agarwal, S. Gala, M. Ragusa
semanticscholar +1 more source
Learning Regularity in Skeleton Trajectories for Anomaly Detection in Videos [PDF]
Computer Vision and Pattern Recognition, 2019 Appearance features have been widely used in video anomaly detection even though they contain complex entangled factors. We propose a new method to model the normal patterns of human movements in surveillance video for anomaly detection using dynamic ...
Romero Morais +5 more
semanticscholar +1 more source
Regularity for general functionals with double phase [PDF]
, 2017 We prove sharp regularity results for a general class of functionals of the type $$\begin{aligned} w \mapsto \int F(x, w, Dw) \, dx, \end{aligned}$$w↦∫F(x,w,Dw)dx,featuring non-standard growth conditions and non-uniform ellipticity properties.
P. Baroni, Maria Colombo, G. Mingione
semanticscholar +1 more source