Research profile

Nguyen Ngoc Khanh

Works on phase fields & multiphase flows, limit spaces & RCD and Ricci solitons.

NP-RC-457442

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  1. Nguyen Thac Dung

    1 joint worklatest 2018

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.DGarXiv:1803.07251

Gradient estimates and Liouville type theorems for Poisson equations

Nguyen Thac Dung, Nguyen Ngoc Khanh

In this paper, we will address to the following parabolic equation on a smooth metric measure space with Bakry-Émery curvature bounded from below. Here is a differentiable function defined in . Our motivation is originally inspired by gradient estimates of Allen-Cahn and Fisher equations (). In this paper, we show new gradient estimates for these equations. As their applications, we obtain Liouville type theorems for positive or bounded solutions to the above equation when either (the Fisher equation) or; (the Allen-Cahn equation); or (the equation involving gradient Ricci solitons).

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