Existence of Global-in-Time Solutions to a System of Fully Nonlinear Parabolic Equations

Existence of Global-in-Time Solutions to a System of Fully Nonlinear Parabolic Equations
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DOI:
10.1007/s10440-022-00533-7
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发表时间:
2022-02
影响因子:
1.6
通讯作者:
T. Kosugi;R. Sato
T. Kosugi;R. Sato
中科院分区:
数学4区
文献类型:
--
作者:
T. Kosugi;R. Sato

文献摘要

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考虑一类完全非线性抛物型方程组的Cauchy问题。在本文中,我们将证明存在的全球时间的解决方案的问题。我们的条件,以确保整体存在的是特定的完全非线性抛物型系统。
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.