Existence of global-in-time solutions to a system of fully nonlinear parabolic equations

2022/02/10 by Kosugi, Takahiro, Sato, Ryuichi
#35A01 (Secondary) #35K40 (Primary) 35K45 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.04809

Abstract

We consider the Cauchy problem for a system of fully nonlinear parabolic equations. In this paper, we shall show the existence of global-in-time solutions to the problem. Our condition to ensure the global existence is specific to the fully nonlinear parabolic system.

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