Sine-Gordon theory in a semi-strip |
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Authors: | Alexander Sakhnovich |
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Institution: | Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria |
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Abstract: | 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. |
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Keywords: | 35G31 37K15 34A55 34B20 34L40 |
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