On locally compact attractors of dynamical systems (Q1306851)

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scientific article; zbMATH DE number 1348135
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English
On locally compact attractors of dynamical systems
scientific article; zbMATH DE number 1348135

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    On locally compact attractors of dynamical systems (English)
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    5 December 1999
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    This paper is devoted to the existence of global locally compact attractors for abstract dynamical systems which are not dissipative, that is they do not possess a bounded attractive (absorbing) set in phase space. The author presents a sufficient condition providing the existence of a locally compact attractor and then applies the obtained results to reaction-diffusion equations and differential inclusions.
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    attractive set
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    absorbing set
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    global locally compact attractors
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    not dissipative
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    differential inclusions
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