Results 21 to 30 of about 12,289 (264)

General Decay for the Degenerate Equation with a Memory Condition at the Boundary

Abstract and Applied Analysis, 2013
We consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.
Su-Young Shin, Jum-Ran Kang
doaj   +1 more source

An Invariance Principle for Maps with Polynomial Decay of Correlations [PDF]

Communications in Mathematical Physics, 2005
15 ...
openaire   +3 more sources

Fast-Decaying Polynomial Reproduction

CoRR
Polynomial reproduction plays a relevant role in deriving error estimates for various approximation schemes. Local reproduction in a quasi-uniform setting is a significant factor in the estimation of error and the assessment of stability but for some computationally relevant schemes, such as Rescaled Localized Radial Basis Functions (RL-RBF), it ...
Stefano De Marchi, Giacomo Cappellazzo
openaire   +2 more sources

Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases

Results in Applied Mathematics
This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous ...
Tuan Anh Pham, Nhat Huy Vu, Minh Tuan Nguyen   +2 more
doaj   +1 more source

Sharp Polynomial Decay for Polynomially Singular Damping on the Torus

Annals of PDE
Abstract We study energy decay rates for the damped wave equation with unbounded damping, without the geometric control condition. Our main decay result is sharp polynomial energy decay for polynomially controlled singular damping on the torus. We also prove that for normally L
Kleinhenz, Perry, Wang, Ruoyu P. T.
openaire   +2 more sources

Non-cutoff Boltzmann equation with polynomial decay perturbations

Revista Matemática Iberoamericana, 2020
The Boltzmann equation without the angular cutoff is considered when the initial data is a small perturbation of a global Maxwellian and decays algebraically in the velocity variable. We obtain a well-posedness theory in the perturbative framework for both mild and strong angular singularities.
Alonso, Ricardo, Morimoto, Yoshinori, Sun, Weiran, Yang, Tong   +3 more
openaire   +2 more sources

General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions

Boundary Value Problems, 2017
In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.
Jum-Ran Kang
doaj   +1 more source

Decay of Geometry for a Class of Cubic Polynomials

Communications in Mathematics and Statistics
In this paper we study a class of bimodal cubic polynomials for which its critical points have the same $ω$-limit set which is an invariant Cantor set. These maps have generalized Fibonacci combinatorics in terms of generalized renormalization on the twin principal nest.
Haoyang Ji, Wenxiu Ma
openaire   +2 more sources

The stability with general decay rate of hybrid stochastic fractional differential equations driven by Lévy noise with impulsive effects

Open Mathematics, 2022
In this paper, our aims are to study the stability with general decay rate of hybrid stochastic fractional differential equations driven by Lévy noise with impulsive effects.
Hou Tingting, Zhang Hui
doaj   +1 more source

A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

Advanced Engineering Materials, EarlyView.
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle, Cesar Alvarez‐Llamas, Vincent Motto‐Ros, Christophe Dujardin, Jérémie Margueritat, David Rodney   +5 more
wiley   +1 more source