Results 21 to 30 of about 3,311,038 (365)
A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient
Advanced Nonlinear Studies, 2020 We consider the elliptic equation -Δu=uq|∇u|p{-\Delta u=u^{q}|\nabla u|^{p}} in ℝn{\mathbb{R}^{n}} for any p>2{p>2} and q>0{q>0}. We prove a Liouville-type theorem, which asserts that any positive bounded solution is constant.
Filippucci Roberta +2 more
doaj +1 more source
Confirming the Unusual Temperature Dependence of the Electric-Field Gradient in Zn
Crystals, 2022 The electric-field gradient (EFG) at nuclei in solids is a sensitive probe of the charge distribution. Experimental data, which previously only existed in insulators, have been available for metals with the development of nuclear measuring techniques ...
Heinz Haas +9 more
doaj +1 more source
AMBER/VLTI observations of the B[e] star MWC 300 [PDF]
, 2012 Aims. We study the enigmatic B[e] star MWC 300 to investigate its disk and binary with milli-arcsecond-scale angular resolution. Methods. We observed MWC 300 with the VLTI/AMBER instrument in the H and K bands and compared these observations with ...
Chelli, A. +10 more
core +4 more sources
Polarization-dependent tunneling of light in gradient optics [PDF]
Physical Review E, 2007 Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present generalized Fresnel formulae, describing the influence of the non-local dispersion on reflectance and transmittance of ...
Shvartsburg, Alexander +2 more
openaire +3 more sources
Training Neural Networks by Time-Fractional Gradient Descent
Axioms, 2022 Motivated by the weighted averaging method for training neural networks, we study the time-fractional gradient descent (TFGD) method based on the time-fractional gradient flow and explore the influence of memory dependence on neural network training. The
Jingyi Xie, Sirui Li
doaj +1 more source
Bridging the Gap between Constant Step Size Stochastic Gradient Descent and Markov Chains [PDF]
, 2018 We consider the minimization of an objective function given access to unbiased estimates of its gradient through stochastic gradient descent (SGD) with constant step-size. While the detailed analysis was only performed for quadratic functions, we provide
Bach, Francis +2 more
core +3 more sources
Revisiting Gradient Clipping: Stochastic bias and tight convergence guarantees [PDF]
International Conference on Machine Learning, 2023 Gradient clipping is a popular modification to standard (stochastic) gradient descent, at every iteration limiting the gradient norm to a certain value $c>0$.
Anastasia Koloskova +2 more
semanticscholar +1 more source
Non-local gradient dependent operators
Advances in Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bjorland, C. +2 more
openaire +1 more source
Impurity transport in temperature gradient driven turbulence [PDF]
, 2011 In the present paper the transport of impurities driven by trapped electron (TE) mode turbulence is studied. Non-linear (NL) gyrokinetic simulations using the code GENE are compared with results from quasilinear (QL) gyrokinetic simulations and a ...
A. Skyman +3 more
core +2 more sources
Robin problems for the p-Laplacian with gradient dependence
Discrete and Continuous Dynamical Systems. Series A, 2019 We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient.
G. Fragnelli +2 more
semanticscholar +1 more source