Results 11 to 20 of about 290,329 (292)
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
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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
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Sleep, 2023 Study Objectives Light is the main time cue for the human circadian system. Sleep and light are intrinsically linked; light exposure patterns can influence sleep patterns and sleep can influence light exposure patterns.
A. J. Hand +6 more
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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
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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
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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
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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
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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
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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
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Maximal regularity for local minimizers of non-autonomous functionals [PDF]
Journal of the European Mathematical Society (Print), 2019 We establish local $C^{1,\alpha}$-regularity for some $\alpha\in(0,1)$ and $C^{\alpha}$-regularity for any $\alpha\in(0,1)$ of local minimizers of the functional \[ v\ \mapsto\ \int_\Omega \varphi(x,|Dv|)\,dx, \] where $\varphi$ satisfies a $(p,q ...
P. Hasto, J. Ok
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