GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS

Liu Qilin; Xie Chunhong; Chen Songlin

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GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS

机译：一类非线性非局部反应扩散问题解的整体爆破和爆破速率估计

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摘要

In this paper, the global blowup properties of solutions for a class of nonlinear non-local reaction-diffusion problems are investigated by the methods of the prior estimates. Moreover, the blowup rate estimate of the solution is given.

机译：本文采用先验估计方法研究了一类非线性非局部反应扩散问题解的整体爆破性质。此外，给出了解的爆破速率估计。

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来源
《Acta Mathematica Scientia》 |2004年第2期|p.259-264|共6页
作者
Liu Qilin; Xie Chunhong; Chen Songlin;
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作者单位

Department of Mathematics, Southeast University, Nanjing 210096, China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
non-local reaction-diffusion equation; blow-up rate; a priori estimate;

机译：非局部反应扩散方程;爆破率;先验估计;

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专利

1. GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS [J] . 刘其林, 谢春红, 陈松林数学物理学报（英文版） . 2004,第002期

机译：一类非线性非局部反应扩散问题的解的整体爆破和爆破速率估计
2. Blowup solutions for a reaction-diffusion system with exponential nonlinearities [J] . Ghoul Tej-Eddine, Van Tien Nguyen, Zaag Hatem Journal of Differential Equations . 2018,第12期

机译：具有指数非线性的反应扩散系统的吹气解决方案
3. Global existence and blowup of solutions for a class of nonlinear higher-order wave equations [J] . Zhou J., Wang X., Song X., ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2012,第3期

机译：一类非线性高阶波动方程解的整体存在和爆破
4. Existence of solutions and estimates of the velocity of convergence of approximate solutions of nonclassical type nonlinear degenerate equation [C] . Mussakan B. Muratbekov, Abai B.Shyrakbaev, Ainash O.Suleimbekova International Conference on Analysis and Applied Mathematics . 2014

机译：非生物型非线性退化等式近似解的升压速度的解决方案及估计
5. Blowup Rate Control for Solution of Jang's Equation and Its Application on Penrose Inequality [D] . Yu, Wenhua 2019

机译：Jang方程解的爆破速率控制及其在彭罗斯不等式中的应用
6. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry [O] . Ka Luen Cheung, Sen Wong 2016

机译：球形对称可压缩Euler方程IBVP解的爆破现象。
7. Blowup solutions for a reaction-diffusion system with exponential nonlinearities [O] . Ghoul, Tej-Eddine, Nguyen, Van Tien, Zaag, Hatem 2018

机译：具有指数的反应扩散系统的爆破解决方案非线性
8. Global Existence and Blowup for a Semilinear Integral Equation [R] . Hattori, H., Lightbourne, J. H. 1990

机译：半线性积分方程的整体存在性与爆破

GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS

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