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arXiv · 2004.02736

Parabolic complex Monge-Amp\`ere equations on compact Hermitian manifolds

Kevin Smith
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Abstract

We prove the long-time existence and convergence of solutions to a general class of parabolic equations, not necessarily concave in the Hessian of the unknown function, on a compact Hermitian manifold. The limiting function is identified as the solution of an elliptic complex Monge-Amp\`ere equation.

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Kevin Smith. 2020-04-06. Parabolic complex Monge-Amp\`ere equations on compact Hermitian manifolds. https://arxiv.org/abs/2004.02736

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