Hessian estimates in weighted Orlicz spaces for 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} \...

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...

Second boundary value problems for Hessian curvature equations

Global well-posedness for one-dimensional cubic fractional nonlinear Schrödinger equations with rough data

A refined upper bound for the third Hankel determinant of univalent functions

Weighted Mixed-Norm Inequalities for Operators Associated with Multi-Dimensional Laguerre Expansions