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Level sets for the stationary solutions of the Ginzburg-Landau equation
被引：0
作者：
Igor Kukavica
机构：
[1] Department of Mathematics,
[2] The University of Chicago,undefined
[3] Chicago,undefined
[4] IL 60637,undefined
[5] USA (e-mail: kukavica@cs.uchicago.edu)
,undefined
来源：
Calculus of Variations and Partial Differential Equations
|
1997年
/
5卷
关键词：
Boundary Condition;
Stationary Solution;
Periodic Boundary;
Periodic Boundary Condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish an upper bound of the measure of any level set of a stationary solution \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$u$\end{document} of theGinzburg-Landau equation \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
\[ - \Delta u + \vert u \vert^2 u - au = 0 \] \end{document} subject to periodic boundary conditions. The obtained bound depends polynomially on the parameter \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$a$\end{document}.
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页码：511 / 521
页数：10
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