闭流形上二阶半线性抛物方程解的镇定性

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9354e

Dmitry Vasilievich Tunitsky

引用次数: 0

摘要

研究一类半线性二阶抛物型微分方程在闭流形上的弱解的存在性、唯一性和稳定性问题。这些方程是Kolmogorov-Petrovskii-Piskunov-Fisher方程的非齐次类比，具有重要的应用和数学价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.