Results 11 to 20 of about 15,291 (210)
Higher-Order Linearization and Regularity in Nonlinear Homogenization [PDF]
Archive for Rational Mechanics and Analysis, 2020 AbstractWe prove large-scale $$C^\infty $$C∞ regularity for solutions of nonlinear elliptic equations with random coefficients, thereby obtaining a version of the statement of Hilbert’s 19th problem in the context of homogenization. The analysis proceeds by iteratively improving three statements together: (i) the regularity of the homogenized ...
Armstrong, Scott +2 more
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An Induction Theorem and Nonlinear Regularity Models
SIAM Journal on Optimization, 2015 28 ...
Phan Quoc Khanh +2 more
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Regularity for the nonlinear Signorini problem
Advances in Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Milakis, E. +3 more
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Approximate entropy and auto mutual information analysis of the electroencephalogram in Alzheimer's disease patients [PDF]
, 2008 We analysed the electroencephalogram (EEG) from Alzheimer's disease (AD) patients with two nonlinear methods: approximate entropy (ApEn) and auto mutual information (AMI).
Gomez, C. +4 more
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The regularization of nonlinear electrical circuits [PDF]
Proceedings of the American Mathematical Society, 1975 Recently Smale [1] proposed the question ’under what conditions can an electrical circuit be regularized?’ This note gives a solution to the problem.
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Positive solutions for $(p,2)$-equations with superlinear reaction and a concave boundary term
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Nikolaos Papageorgiou, Andrea Scapellato
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Nonlinear elliptic boundary value problems with convection term and Hardy potential
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel +2 more
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Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity
East Asian Journal on Applied Mathematics, 2023 We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie-Trotter time-splitting (LTTS) methods and regularized Lawson-type exponential integrator (LTEI) methods. Due to the blowup of the singular nonlinearity, i.e., $f(ρ)=ρ^α$ with a fixed exponent
Weizhu Bao, Yue Feng 0006, Ying Ma
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Condensed Matter Physics, 2006 We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the C∞-regularity properties of evolutional ...
Alexander Val. Antoniouk +1 more
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Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→
Paolo Marcellini
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