Results 1 to 10 of about 304,795 (244)
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
Electronic Research Archive, 2023 This paper focuses on the energy equality for weak solutions of the nonhomogeneous incompressible Hall-magnetohydrodynamics equations in a bounded domain $ \Omega \subset \mathbb{R}^n $ $ (n\geqslant2) $.
Xun Wang , Qunyi Bie
doaj +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
AIMS Mathematics, 2021 This study typically emphasizes analyzing the geometrical singularities of weak solutions of the mixed boundary value problem for the stationary Stokes and Navier-Stokes system in two-dimensional non-smooth domains with corner points and points at which ...
Yasir Nadeem Anjam
doaj +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
IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS [PDF]
Journal of Algebraic Systems, 2018 In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with ...
L. Sharifan
doaj +1 more source