Sine-Gordon theory in a semi-strip

Details Sine-Gordon theory in a semi-strip Sine-Gordon theory in a semi-strip

2010-01-23

arxiv.org/abs/1001.4142v1

Nonlinear Analysis 75 (2012), 964-974

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1016/j.na.2011.09.030

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.

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