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arXiv · 1907.09292

On the Lojasiewicz-Simon gradient inequality on submanifolds

Fabian Rupp
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Abstract

We provide sufficient conditions for the Lojasiewicz-Simon gradient inequality to hold on a submanifold of a Banach space and discuss the optimality of our assumptions. Our result provides a tool to study asymptotic properties of quasilinear parabolic equations with (nonlinear) constraints.

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Fabian Rupp. 2019-07-22. On the Lojasiewicz-Simon gradient inequality on submanifolds. https://doi.org/10.1016/j.jfa.2020.108708

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