Sine-Gordon theory in a semi-strip
Exactly Solvable and Integrable Systems
2013-01-30 v1 Analysis of PDEs
Spectral Theory
Abstract
Initial-boundary value problems for complex sine-Gordon and sine-Gordon equations in a semi--strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for 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 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.
Keywords
Cite
@article{arxiv.1001.4142,
title = {Sine-Gordon theory in a semi-strip},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1001.4142},
year = {2013}
}