Results 61 to 70 of about 1,150,426 (301)
Concerning the pathological set in the context of probabilistic well-posedness
Comptes Rendus. Mathématique, 2021 We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
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Regularity theory for parabolic nonlinear integral operators
, 2011 This article is dedicated to the regularity theory for solutions to a class of nonlinear integral variational problems. Those problems are involved in nonlocal image and signal processing.
Alexis Vasseur +2 more
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Inverse Design of Nanoparticulate Materials
Advanced Materials, EarlyView.Inverse design shifts nanomaterial development from empirical trial‐and‐error to predictive model‐driven strategies. It can rely on knowledge‐based, data‐based, or hybrid process and property functions. This perspective article provides a practical framework for applying inverse design based on instructive examples. It discusses which modeling approach
Nabi Etienne Traoré +5 more
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Symmetry Regularization and Saturating Nonlinearity for Robust Quantization
, 2022 Robust quantization improves the tolerance of networks for various implementations, allowing reliable output in different bit-widths or fragmented low-precision arithmetic. In this work, we perform extensive analyses to identify the sources of quantization error and present three insights to robustify a network against quantization: reduction of error ...
Sein Park, Yeongsang Jang, Eunhyeok Park
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Boundary regularity for nonlinear elliptic systems
, 2002 We consider questions of boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations. We obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point.
Grotowski, J. F.
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Advances in Bio‐Integrated Edge Computing Systems for Smart and Connected Health
Advanced Materials, EarlyView.This review explores advances in bio‐integrated edge computing for healthcare, focusing on co‐designing computing, sensing, and energy strategies to overcome integration and power challenges for optimized, decentralized operation. ABSTRACT Recent advances in bio‐integrated healthcare technologies have enabled continuous, high‐resolution monitoring and ...
Gyuwon Kim +4 more
wiley +1 more source
Nonlinear resonant problems with an indefinite potential and concave boundary condition
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
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REGULARITY OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS
Demonstratio Mathematica, 2001 The author studies the smoothness of the solutions for the Cauchy problem of the type \[ \dot{u}+ A u=F(u), \quad t>0, \qquad u(0)=u_0 \] where \(A\) is an abstract counterpart of an elliptic operator. It is obtained a necessary and sufficient condition or higher-order regularity of solutions for that problem.
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A Noninvasive Approach to Study Localized Forces in 3D Epithelia
Advanced Materials, EarlyView.Epithelial morphogenesis depends on dynamic mechanical coupling between adhesion complexes and the cytoskeleton, yet its regulation in polarized 3D tissues remains elusive. We developed a noninvasive strategy using cell‐like elastic microbeads to quantify local forces in intact epithelia.
Niels Gouirand +9 more
wiley +1 more source
REGULARITY CODITIONS IN NONLINEAR PROGRAMMING PROBLEMS
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 Weak regularity conditions are studied. Necessary and sufficient conditions of R -regularity are obtained. The relations between different types of regularity conditions are investigated.
L. I. Minchenko, A. E. Leschov
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