On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds

被引：5
作者：
Tunitsky, D. V. [1 ]
机构：
[1] Russian Acad Sci, VA Trapeznikov Inst Control Sci, Moscow, Russia
来源：
IZVESTIYA MATHEMATICS | 2023年 / 87卷 / 04期
基金：
俄罗斯基础研究基金会; 俄罗斯科学基金会;
关键词：
the Kolmogorov-Petrovskii-Piskunov-Fisher equation; second-order parabolic equation; semilinear equation on manifold; weak solution; stabilization;
D O I：
10.4213/im9354e
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is concerned with problems of existence, uniqueness, and stabilization of weak solutions of one class of semilinear second-order parabolic differential equations on closed manifolds. These equations are inhomogeneous analogues of the Kolmogorov-Petrovskii-Piskunov-Fisher equation, and have significant applied and mathematical value.
引用
收藏
页码：817 / 834
页数：18
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