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Regularity of Stochastic Kinetic Equations [PDF]

open access: yes, 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]

open access: yes, 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 regularity is a stronger predictor of mortality risk than sleep duration: A prospective cohort study

open access: yesSleep, 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]

open access: yesCommunications 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]

open access: yesComputer 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.

open access: yesSleep, 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

Pedagogic process modeling: Humanistic-integrative approach [PDF]

open access: yesZbornik Instituta za pedagoška istraživanja, 2007
The paper deals with some current problems of modeling the dynamics of the subject-features development of the individual. The term "process" is considered in the context of the humanistic-integrative approach, in which the principles of self education ...
Boritko Nikolaj M.
doaj   +1 more source

Judgement of paintings belonging to different tendencies in the 20th century painting [PDF]

open access: yesPsihologija, 2004
In this study Trifunović’ hypothesis that there are three objective lines in the development of modern art was psychologically evaluated. According to Trifunović, in the first line (Cézanne - cubism - neoplasticism - suprematism) the geometrization of ...
Radonjić Ana, Marković Slobodan
doaj   +1 more source

On the sub–diffusion fractional initial value problem with time variable order

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a ...
Cuesta Eduardo   +3 more
doaj   +1 more source

Regularity for minimizers for functionals of double phase with variable exponents [PDF]

open access: yesAdvances 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

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