Fully non-linear parabolic equations on compact Hermitian manifolds

Duong H. Phong; Dat T. Tô

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arXiv · 1711.10697

Fully non-linear parabolic equations on compact Hermitian manifolds

Duong H. Phong·Dat T. Tô

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Abstract

A notion of parabolic C-subsolutions is introduced for parabolic equations, extending the theory of C-subsolutions recently developed by B. Guan and more specifically G. Sz\'ekelyhidi for elliptic equations. The resulting parabolic theory provides a convenient unified approach for the study of many geometric flows.

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Duong H. Phong, Dat T. Tô. 2017-11-29. Fully non-linear parabolic equations on compact Hermitian manifolds. https://arxiv.org/abs/1711.10697

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