Convergence of a class of fully non-linear parabolic equations on Hermitian manifolds

Mathew George

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arXiv · 2112.02432

Convergence of a class of fully non-linear parabolic equations on Hermitian manifolds

Mathew George

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Abstract

We consider a class of fully non-linear parabolic equations on compact Hermitian manifolds involving symmetric functions of partial Laplacians. Under fairly general assumptions, we show the long time existence and convergence of solutions. We also derive a Harnack inequality for the linearized equation which is used in the proof of convergence.

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Mathew George. 2021-12-04. Convergence of a class of fully non-linear parabolic equations on Hermitian manifolds. https://arxiv.org/abs/2112.02432

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