@Article{JPDE-37-3,
author = {Yang, Chunxiao and Jieyu, Fan and Miao, Gao},
title = {Global and Nonglobal Solutions for Pseudo-Parabolic Equation with Inhomogeneous Terms},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {3},
pages = {295--308},
abstract = {<p style="text-align: justify;">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 $σ &gt;0.$ We further generalize the weight function $w(x) ∼ |x|^σ$ for $−2&lt;σ&lt;0,$ and discuss the global and non-global solutions to obtain the critical Fujita
exponent.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v37.n3.5},
url = {https://global-sci.com/article/91189/global-and-nonglobal-solutions-for-pseudo-parabolic-equation-with-inhomogeneous-terms}
}