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 sp...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11501438).
文摘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.
