具有非标准增长条件的反应扩散方程组的熄灭估计

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 408-416.

具有非标准增长条件的反应扩散方程组的熄灭估计

College of Science, China University of Petroleum

收稿日期:2012-05-30 出版日期:2013-09-30 发布日期:2023-02-24
作者简介:LIU Bing-chen(1976-), male, native of Weifang, Shandong, an associate professor of China Uni- versity of Petroleum, Ph.D., engages in partial diﬀerential equations of parabolic type; HONG Zhen-zhen(1988-), female, native of Dezhou, Shandong, an undergraduate Student of China University of Petroleum, engages in partial diﬀerential equation of parabolic type.
基金资助:
Supported by the NNSF of China(11201483)； Supported by the Shandong Provincial Natural Science Foundation(ZR2010AQ011)； Supported by the Fundamental Research Funds for the Central Universities(11CX04058A,12CX04081A,13CX06002A)

Quenching Estimates for Reaction-diﬀusion Equations with Nonstandard Growth Conditions

College of Science, China University of Petroleum

Received:2012-05-30 Online:2013-09-30 Published:2023-02-24
About author:LIU Bing-chen(1976-), male, native of Weifang, Shandong, an associate professor of China Uni- versity of Petroleum, Ph.D., engages in partial diﬀerential equations of parabolic type; HONG Zhen-zhen(1988-), female, native of Dezhou, Shandong, an undergraduate Student of China University of Petroleum, engages in partial diﬀerential equation of parabolic type.
Supported by:
Supported by the NNSF of China(11201483)； Supported by the Shandong Provincial Natural Science Foundation(ZR2010AQ011)； Supported by the Fundamental Research Funds for the Central Universities(11CX04058A,12CX04081A,13CX06002A)

摘要/Abstract

摘要： This paper deals with reaction-diffusion equations involving nonstandard growth conditions, subject to homogeneous Neumann boundary conditions. The complete classification is established for simultaneous and non-simultaneous quenching under suitable assumptions on initial data. Moreover, quenching sets and quenching rates are obtained.

关键词: nonstandard growth conditions; , simultaneous quenching; , non-simultaneous quenching, quenching set, quenching rate

Abstract: This paper deals with reaction-diffusion equations involving nonstandard growth conditions, subject to homogeneous Neumann boundary conditions. The complete classification is established for simultaneous and non-simultaneous quenching under suitable assumptions on initial data. Moreover, quenching sets and quenching rates are obtained.

Key words: nonstandard growth conditions; , simultaneous quenching; , non-simultaneous quenching, quenching set, quenching rate

中图分类号:

O175。26

刘丙辰, 洪真真. 具有非标准增长条件的反应扩散方程组的熄灭估计[J]. 数学季刊, 2013, 28(3): 408-416.

LIU Bing- chen, HONG Zhen-zhen. Quenching Estimates for Reaction-diﬀusion Equations with Nonstandard Growth Conditions[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 408-416.