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Asymptotic stability of the gradient flow of nonlocal energies

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Asymptotic stability of the gradient flow of nonlocal energies
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26
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We present a short-time existence result for the surface diffusion equation with an elastic term and without additional curvature regularization. We shall also discuss the asymptotic stability of strictly stable stationary sets.