Long-Time Dynamics of Nonlinear Dirac Equations with a Class of Large Data

On Two Critical Exponents in the Cauchy Problem for a Certain (2+1)-Dimensional Nonlinear Equation of a Thermal-Electrical Model

Lack of uniform continuity of the flow map of a quadratic derivative nonlinear Schrödinger equation

Estimates of the gap between extreme solutions of nonlinear difference equations

We study bounded solutions of nonlinear difference equations on arbitrary index sets within a unified fixed-point framework. Working in the Banach lattice l∞(X,R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \...

Finite element analysis of the coupled nonlinear sine-Gordon equations with Neumann boundary conditions

A least squares space-time approach for parabolic equations

We propose a least squares formulation for abstract parabolic equations in the natural L2(0,T;V⋆)×H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{do...

Linear Fluctuation of Interfaces in Glauber–Kawasaki Dynamics

In this article, we find a scaling limit of the space-time mass fluctuation field of Glauber + Kawasaki particle dynamics around its hydrodynamic mean curvature interface limit. Here, the Glauber rates are scaled by K=KN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepa...