On the Lojasiewicz-Simon gradient inequality on submanifolds

Published 22 Jul 2019 in math.FA and math.AP | (1907.09292v2)

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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Authors (1)

Fabian Rupp

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