A note on the life span of semilinear pseudo-parabolic equation

Cao Yang; Wang Zhiyong; Yin Jingxue

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A note on the life span of semilinear pseudo-parabolic equation

机译：关于半线性伪抛物型方程的寿命的说明

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We consider the Cauchy problem for the semilinear pseudo-parabolic equation with initial data with compact support. We find the life span of the solution, when the power exponent p is smaller than the Fujita exponent. (C) 2019 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2019年第2019期|共5页
作者
Cao Yang; Wang Zhiyong; Yin Jingxue;
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作者单位

Dalian Univ Technol Sch Math Sci Dalian 116024 Peoples R China;

Fujian Normal Univ Coll Math &

Informat Fuzhou 350117 Fujian Peoples R China;

South China Normal Univ Sch Math Sci Guangzhou 510631 Guangdong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Pseudo-parabolic equation; Life span; Compact support initial value;

机译：伪抛物型方程;寿命;紧凑支持初始值;

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专利

1. A note on the life span of semilinear pseudo-parabolic equation [J] . Cao Yang, Wang Zhiyong, Yin Jingxue Applied mathematics letters . 2019,第期

机译：关于半线性伪抛物型方程的寿命的说明
2. Lifespan for a semilinear pseudo-parabolic equation [J] . Xu Guangyu, Zhou Jun Mathematical Methods in the Applied Sciences . 2018,第2期

机译：半线性伪抛物型方程的寿命
3. Second critical exponent and life span for pseudo-parabolic equation [J] . Yang C., Cao Y., Zheng S. Journal of Differential Equations . 2012,第12期

机译：伪抛物方程的第二临界指数和寿命
4. Spectral Collocation Solutions to a Class of Pseudo-parabolic Equations [C] . Calin-Ioan Gheorghiu International Conference on Numerical Methods and Applications . 2019

机译：一类伪抛物型方程的光谱搭配解决方案
5. Liouville and Harnack type theorems for semilinear elliptic equations and Yamabe type equations. [D] . Zhang, Lei. 2001

机译：半线性椭圆方程和Yamabe型方程的Liouville和Harnack型定理。
6. Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions [O] . Fritz John 1982

机译：三维非线性波动方程解寿命的下界
7. Second critical exponent and life span for pseudo-parabolic equation [O] . Yang Chunxiao, Cao Yang, Zheng Sining 2012

机译：伪抛物线方程的第二临界指数和寿命
8. Life Span of the Solutions to Cauchy Problems for Nonlinear Wave Equations [R] . Chen Y 1987

机译：非线性波动方程Cauchy问题解的寿命周期

A note on the life span of semilinear pseudo-parabolic equation

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