Global and Nonglobal Solutions for Pseudo-Parabolic Equation with Inhomogeneous Terms  

作　　者：YANG Chunxiao FAN Jieyu GAO Miao 

机构地区：[1]School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China

出　　处：《Journal of Partial Differential Equations》2024年第3期295-308,共14页偏微分方程（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11501438).

摘　　要：This paper considers the Cauchy problem of pseudo-parabolic equation with inhomogeneous terms u_(t)=△u+k△u_(t)+w(x)u^(P)(x,t).In[1],Li et al.gave the critical Fujita exponent,second critical exponent and the life span for blow-up solutions under w(x)=|x|^(σ)with>0.We further generalize the weight function w(x)~|x|^(σ)for-2<σ<0,and discuss the global and non-global solutions to obtain the critical Fujita exponent.

关 键 词：Pseudo-parabolic equation critical Fujita exponent global solutions BLOW-UP 

分 类 号：O175.29[理学—数学]