On the Kneser property for some parabolic problems (Q818427)

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scientific article; zbMATH DE number 5013568
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English
On the Kneser property for some parabolic problems
scientific article; zbMATH DE number 5013568

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    On the Kneser property for some parabolic problems (English)
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    20 March 2006
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    The author establishes the validity of the Kneser property (that is, the property that the solution set is compact and connected at each time) for a phase-field system, and for a differential inclusion governed by a difference of subdifferentials. He also shows that the global attractor corresponding to each of the above equations, is connected.
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    phase-field equations
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    differential inclusions
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    set-valued dynamical system
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    global attractor
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    connection
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    Kneser property
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