TY - JOUR
T1 - A Pseudo-parabolic Type Equation with Weakly Nonlinear Sources
AU - Li , Yinghua
AU - Cao , Yang
JO - Journal of Partial Differential Equations
VL - 4
SP - 363
EP - 372
PY - 2013
DA - 2013/12
SN - 26
DO - http://doi.org/10.4208/jpde.v26.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/5168.html
KW - Pseudo-parabolic equation
KW - existence
KW - asymptotic behavior
AB - <p>In this paper, we prove the existence of nonnegative solutions to the initial boundary value problems for the pseudo-parabolic type equation with weakly nonlinear sources. Further, we discuss the asymptotic behavior of the solutions as the viscous coefficient k tends to zero.</p>