A note on sign-changing solutions to the NLS on the double-bridge graph (Q2310975)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on sign-changing solutions to the NLS on the double-bridge graph |
scientific article |
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A note on sign-changing solutions to the NLS on the double-bridge graph (English)
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10 July 2019
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Summary: We study standing waves of the NLS equation posed on the double-bridge graph: two semi-infinite half-lines attached at a circle. At the two vertices, Kirchhoff boundary conditions are imposed. We pursue a recent study concerning solutions nonzero on the half-lines and periodic on the circle, by proving some existing results of sign-changing solutions non-periodic on the circle.
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quantum graphs
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non-linear Schrödinger equation
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standing waves
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