On the Lojasiewicz-Simon gradient inequality on submanifolds
Functional Analysis
2020-07-27 v2 Analysis of PDEs
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.
Cite
@article{arxiv.1907.09292,
title = {On the Lojasiewicz-Simon gradient inequality on submanifolds},
author = {Fabian Rupp},
journal= {arXiv preprint arXiv:1907.09292},
year = {2020}
}
Comments
32 pages. To appear in Journal of Functional Analysis. New version contains an abstract convergence result (Cor. 5.6), a new counterexample (Ex. 6.5) and minor corrections. 2 references added