Open Access
April, 2024 On the Exterior Problem for Parabolic Hessian Quotient Equations
Ziwei Zhou
Author Affiliations +
Taiwanese J. Math. 28(2): 343-358 (April, 2024). DOI: 10.11650/tjm/231104

Abstract

We prove the existence of ancient solutions of the exterior problem for parabolic Hessian quotient equations $-u_{t} S_{k,l}(D^{2}u) = 1$ with prescribed asymptotic behavior at infinity. We construct a subsolution to it and use Perron method to finish the proof.

Funding Statement

The author is supported by NSFC 12301240.

Citation

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Ziwei Zhou. "On the Exterior Problem for Parabolic Hessian Quotient Equations." Taiwanese J. Math. 28 (2) 343 - 358, April, 2024. https://doi.org/10.11650/tjm/231104

Information

Received: 2 August 2023; Accepted: 12 November 2023; Published: April, 2024
First available in Project Euclid: 19 March 2024

MathSciNet: MR4719941
Digital Object Identifier: 10.11650/tjm/231104

Subjects:
Primary: 35A01 , 35K55

Keywords: ancient solution , existence , Exterior problem , parabolic Hessian quotient equation

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

Vol.28 • No. 2 • April, 2024
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