Results 81 to 90 of about 51,414 (229)

Some sharp Sobolev regularity for inhomogeneous infinity Laplace equation in plane

Journal de Mathématiques Pures et Appliquées, 2019
Suppose $ \Subset \mathbb R^2$ and $f\in BV_{loc}( )\cap C^0( )$ with $|f|>0$ in $ $. Let $u\in C^0( )$ be a viscosity solution to the inhomogeneous $\infty$-Laplace equation $$ - _{\infty} u :=-\frac12\sum_{i=1}^2(|Du|^2)_iu_i= -\sum_{i,j=1}^2u_iu_ju_{ij} =f \quad {\rm in}\ . $$ The following are proved in this paper. (i) For $ > 3/2$,
Koch, Herbert, Zhang, Yi Ru-Ya, Zhou, Yuan   +2 more
openaire   +2 more sources

A Review of Metal–Organic Framework (MOF) Based Active Food Packaging: Materials Selection, Cellulose Matrices Current Advances, Synthesis and Characterizations

Packaging Technology and Science, EarlyView.
Active packaging offers an effective approach to extending food shelf life. This review summarizes the past decade of progress in metal‐organic framework (MOF)‐based active food packaging, highlighting material selection, characterization, challenges, and future prospects.
Belladini Lovely, Young‐Teck Kim, Haibo Huang, Novitri Hastuti, Su Jung Hong   +4 more
wiley   +1 more source

Finite difference methods for the Infinity Laplace andp-Laplace equations

Journal of Computational and Applied Mathematics, 2013
We build convergent discretizations and semi-implicit solvers for the Infinity Laplacian and the game theoretical $p$-Laplacian. The discretizations simplify and generalize earlier ones. We prove convergence of the solution of the Wide Stencil finite difference schemes to the unique viscosity solution of the underlying equation.
openaire   +3 more sources

Frequency Shaping for Improving a Trade‐Off Between Control and Privacy Performance: Beyond Differential Privacy

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe, Yu Kawano, Nobutaka Wada, Ming Cao   +3 more
wiley   +1 more source

An algebraic criterion for the onset of chaos in nonlinear dynamic systems [PDF]

The correspondence between iterated integrals and a noncommutative algebra is used to recast the given dynamical system from the time domain to the Laplace-Borel transform domain.
Tobak, M., Unal, A.
core   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Shooting Type Laplace–Adomian Decomposition Algorithm for nonlinear differential equations with boundary conditions at infinity

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sivakumar, T.R., Baiju, S.
openaire   +1 more source

Mesh‐Based Charge Simulation Method and Its Applications to Electrostatic Electric Field Computation

High Voltage, EarlyView.
ABSTRACT The charge simulation method (CSM) is a well‐established numerical technique employed in electrostatic field calculations, primarily due to its simplicity and computational efficiency. However, conventional CSM face challenges when applied to complex geometries, as they necessitate meticulous manual placement of simulation charges and matching
Tahan Wang, Kun He, Fangyuan Cao, Bo Chen, Li Xie, Jiayu Lu   +5 more
wiley   +1 more source

Boundary differentiability for inhomogeneous infinity Laplace equations

Electronic Journal of Differential Equations, 2014
Summary: We study the boundary regularity of the solutions to inhomogeneous infinity Laplace equations. We prove that if \(u\in C(\bar{\Omega})\) is a viscosity solution to \(\Delta_{\infty}u:=\sum_{i,j=1}^n u_{x_i}u_{x_j}u_{x_ix_j}=f\) with \(f\in C(\Omega)\cap L^{\infty}(\Omega)\) and for \(x_0\in \partial\Omega\) both \(\partial\Omega\) and \(g:=u|_{
openaire   +2 more sources

A Bayes factor framework for unified parameter estimation and hypothesis testing

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract The Bayes factor, the data‐based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter estimation.
Samuel Pawel
wiley   +1 more source