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arXiv · 1903.01953

Lojasiewicz--Simon gradient inequalities for the harmonic map energy function

Paul M. N. Feehan·Manousos Maridakis
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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).

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BibTeXRIS

Paul M. N. Feehan, Manousos Maridakis. 2019-03-05. Lojasiewicz--Simon gradient inequalities for the harmonic map energy function. https://arxiv.org/abs/1903.01953

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