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Regularity of Stochastic Kinetic Equations [PDF]
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
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Regularity Theory for Elliptic PDE [PDF]
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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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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Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]
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]
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.
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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Pedagogic process modeling: Humanistic-integrative approach [PDF]
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.
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Judgement of paintings belonging to different tendencies in the 20th century painting [PDF]
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
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On the sub–diffusion fractional initial value problem with time variable order
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
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Regularity for minimizers for functionals of double phase with variable exponents [PDF]
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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