Blow-up conditions for a semilinear parabolic system on locally finite graphs

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI:10.1007/s10473-024-0213-0

引用次数: 0

Abstract

In this paper, we investigate a blow-up phenomenon for a semilinear parabolic system on locally finite graphs. Under some appropriate assumptions on the curvature condition CDE’(n,0), the polynomial volume growth of degree m, the initial values, and the exponents in absorption terms, we prove that every non-negative solution of the semilinear parabolic system blows up in a finite time. Our current work extends the results achieved by Lin and Wu (Calc Var Partial Differ Equ, 2017, 56: Art 102) and Wu (Rev R Acad Cien Serie A Mat, 2021, 115: Art 133).

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局部有限图上半线性抛物系统的炸毁条件

摘要本文研究了局部有限图上半线性抛物系统的炸毁现象。在曲率条件 CDE'(n,0)、度数为 m 的多项式体积增长、初始值和吸收项指数的一些适当假设下，我们证明了半线性抛物线系统的每个非负解都会在有限时间内炸毁。我们目前的工作扩展了 Lin 和 Wu（Calc Var Partial Differ Equ，2017，56：Art 102）以及 Wu（Rev R Acad Cien Serie A Mat，2021，115：Art 133）取得的成果。

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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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.