A rigidity theorem for parabolic 2-Hessian equations

DOI10.1090/PROC/15539zbMATH Open1504.35169arXiv1906.06682OpenAlexW2952274422MaRDI QIDQ5086929

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Publication date: 8 July 2022

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Abstract: In this paper, we consider the entire solutions to the parabolic $2$-Hessian equations of the form $-u_{t}sigm{a}_2(D^{2}u)=1$ in $mathbb{R}^{n}imes(-infty,0]$. We prove some rigidity theorems for the parabolic $2$-Hessian equations in $mathbb{R}^{n}imes(-infty,0]$ by establishing Pogorelov type estimates for $2$-convex-monotone solutions of the parabolic $2$-Hessian equations.

Full work available at URL: https://arxiv.org/abs/1906.06682

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