Lojasiewicz--Simon gradient inequalities for the harmonic map energy function
Differential Geometry
2019-03-06 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We apply our abstract gradient inequalities developed by the authors in arXiv:1510.03817 to prove Lojasiewicz--Simon gradient inequalities for the harmonic map energy function using Sobolev spaces which impose minimal regularity requirements on maps between closed, Riemannian manifolds. Our Lojasiewicz--Simon gradient inequalities for the harmonic map energy function generalize those of Kwon (2002), Liu and Yang (2010), Simon (1983, 1985), and Topping (1997).
Keywords
Cite
@article{arxiv.1903.01953,
title = {Lojasiewicz--Simon gradient inequalities for the harmonic map energy function},
author = {Paul M. N. Feehan and Manousos Maridakis},
journal= {arXiv preprint arXiv:1903.01953},
year = {2019}
}
Comments
33 pages. This is part 2 of our previous article arXiv:1510.03817v7, which is now being split into two parts