Sine-Gordon theory in a semi-strip

被引：6

作者：

Sakhnovich, Alexander ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

基金：

奥地利科学基金会;

关键词：

Sine-Gordon equation; Complex sine-Gordon equation; Initial-boundary value problem; Skew-self-adjoint Dirac system; Weyl function; Inverse spectral transform; BOUNDARY-VALUE-PROBLEMS; COMPLEX SINE; INVERSE SCATTERING; SPECTRAL PROBLEM; EQUATIONS; EXISTENCE; EVOLUTION; DISCRETE; GOURSAT; SOLITON;

D O I：

10.1016/j.na.2011.09.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Initial-boundary value problems for sine-Gordon and complex sine-Gordon equations in a semi-strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for the complex sine-Gordon equation. The evolution of the Weyl function as well as an existence result and a procedure to recover solution are given for the sine-Gordon equation. It is shown that for a wide class of examples the solutions of the sine-Gordon equation are unbounded in the quarter-plane. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：964 / 974

页数：11

共 60 条

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