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arXiv · 1801.08012

Existence of expanders of the harmonic map flow

Alix Deruelle·Tobias Lamm
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Abstract

We investigate the existence of weak expanding solutions of the harmonic map flow for maps with values into a smooth closed Riemannian manifold. We prove the existence of such solutions in case the target manifold is isometrically embedded as a hypersurface of some Euclidean space and the initial condition is a Lipschitz map that is homotopic to a constant.

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Alix Deruelle, Tobias Lamm. 2018-01-24. Existence of expanders of the harmonic map flow. https://arxiv.org/abs/1801.08012

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