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.
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收藏
页码：964 / 974
页数：11
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