Heat Flows with Prescribed Singularities from 3-dimensional Manifold

Jie Ji; Jingru Niu

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arXiv · 2412.14634

Heat Flows with Prescribed Singularities from 3-dimensional Manifold

Jie Ji·Jingru Niu

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Abstract

In this paper, we study singular heat flows from a 3-dimensional complete bounded Riemannian manifold without boundary into the hyperbolic space with prescribe singularity along a closed curve. We prove the existence and regularity of the singular heat flows. Furthermore, we prove that the singular heat flows converge to a singular harmonic map at an exponential rate.

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Jie Ji, Jingru Niu. 2024-12-19. Heat Flows with Prescribed Singularities from 3-dimensional Manifold. https://arxiv.org/abs/2412.14634

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