Finite dimensional behavior for weakly damped driven Schrödinger equations (Q1112239)
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scientific article; zbMATH DE number 4077813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite dimensional behavior for weakly damped driven Schrödinger equations |
scientific article; zbMATH DE number 4077813 |
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Finite dimensional behavior for weakly damped driven Schrödinger equations (English)
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1988
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We study the long time behavior of nonlinear Schrödinger equations with a zero order dissipation when they are driven by an external force. We show that this behavior is described by an attractor which captures all the trajectories. One of our main results concerns the estimate of the uniform Lyapunov exponents on this attractor, which allows us to prove its finite dimensional character.
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long time behavior
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nonlinear Schrödinger equations
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zero order dissipation
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external force
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attractor
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uniform Lyapunov exponents
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