Passive scattering systems with a nonlinear feedback (Q2703873)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Passive scattering systems with a nonlinear feedback |
scientific article |
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19 November 2002
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passive scattering system
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nonlinear feedback
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weak solution
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Lax-Phillips contraction semigroups
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Passive scattering systems with a nonlinear feedback (English)
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The author proves the existence and uniqueness of a weak solution of a passive scattering system with a nonlinear feedback. The notion of weak solution is based on the canonical bijection between passive scattering systems and Lax-Phillips contraction semigroups. The approach treats the system in a extended sense even if the original system is ordinary. In the case of ordinary system, a weak solution is proved to be an ordinary solution.
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0.7394060492515564
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0.7255290746688843
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