Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (3): 408-416.

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Quenching Estimates for Reaction-diffusion Equations with Nonstandard Growth Conditions

  

  1. 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)

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

CLC Number: