Results 21 to 30 of about 2,551,566 (242)
An approach to nonlinear viscoelasticity via metric gradient flows [PDF]
, 2013 We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and that ensure time-dependent frame ...
Mielke, A. +4 more
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DisSAGD: A Distributed Parameter Update Scheme Based on Variance Reduction
Sensors, 2021 Machine learning models often converge slowly and are unstable due to the significant variance of random data when using a sample estimate gradient in SGD.
Haijie Pan, Lirong Zheng
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Second-Order Gradient Estimates for the Porous Medium Equation on Riemannian Manifolds
MathematicsIn this paper, we derive second-order gradient estimates for positive solutions of the porous medium equation ∂∂tu(x,t)=Δu(x,t)p,p∈1,1+1n−1 on an n-dimensional Riemannian manifold under certain curvature conditions.
Jingjing Yang, Guangwen Zhao
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Universal Gradient Estimates for the Trudinger Equation on Smooth Metric Measure Spaces
AxiomsIn this paper, we employ the Nash–Moser iteration technique and the Saloff–Coste’s Sobolev inequality to study the local and global properties of positive solutions to the Trudinger equation Δp,fu1p−1+buq+cur=0 on a complete smooth metric measure space ...
Yanhua Yang, Cheng Jin, Fanqi Zeng
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Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
Boundary Value Problems, 2018 In this paper, we consider positive solutions to the Fisher–KPP equation on complete Riemannian manifolds. We derive the gradient estimate. Using the estimate, we get the classic Harnack inequality which extends the recent result of Cao, Liu, Pendleton ...
Xin Geng, Songbo Hou
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Material and shape perception based on two types of intensity gradient information. [PDF]
PLoS Computational Biology, 2018 Visual estimation of the material and shape of an object from a single image includes a hard ill-posed computational problem. However, in our daily life we feel we can estimate both reasonably well.
Masataka Sawayama, Shin'ya Nishida
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Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation
Journal of Inequalities and Applications, 2018 We consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a smooth metric measure space (M,g,e−fdv) $(M, g,e^{-f}\,dv)$: Δfu+aulogu+bu=0, $$\Delta_{f} u+au\log u+bu=0, $$ where a, b are two real constants. When
Bingqing Ma, Yongli Dong
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Thermoelectric transport coefficients of quark matter
European Physical Journal C: Particles and Fields, 2022 A thermal gradient and/or a chemical potential gradient in a conducting medium can lead to an electric field, an effect known as thermoelectric effect or Seebeck effect.
Aman Abhisek +3 more
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MethodsX, 2023 Explaining model decisions from medical image inputs is necessary for deploying deep neural network (DNN) based models as clinical decision assistants.
Weina Jin +3 more
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A gradient estimate on a manifold with convex boundary
, 1997 We present a simple probability approach for establishing a gradient estimate for a solution of an elliptic equation on a compact Riemannian manifold with convex boundary, or on a noncompact complete manifold.
Zhongmin Qian, Qian, Zhongmin, Qian, Z
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