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Passive scattering systems with a nonlinear feedback (Q2703873)

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scientific article
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English
Passive scattering systems with a nonlinear feedback
scientific article

    Statements

    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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