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Existence or global attractors and gradient property for a class of non local evolution equations - MaRDI portal

Existence or global attractors and gradient property for a class of non local evolution equations (Q2390108)

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Existence or global attractors and gradient property for a class of non local evolution equations
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    Existence or global attractors and gradient property for a class of non local evolution equations (English)
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    20 July 2009
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    The authors investigate the existence of a global attractor to some evolution equation in \(L^{2}(S^{1})\). Under some appropriate Lipschitz conditions, they also prove that the flow is gradient, and the attractor is the unstable set of the equilibrium point of the semigroup generated.
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    global attractor
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    Lyapunov functional
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    gradient flow
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