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Ji-Yuan Han

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Preprint Oct 2026

Parabolic Monge-Amp\`ere equations on a family of Calabi-Yau manifolds

We prove a uniform $L^\infty$-estimate for the parabolic Monge--Amp\`ere equation under uniform H\"ormander-Tian type estimates with respect to the initial and prescribed measures. We apply this estimate to rescaled K\"ahler--Ricci flows on a family of polarized Calabi--Yau manifolds over the punctured disk. An interpo...

Ji-Yuan Han · 0 citations