TY - JOUR T1 - A Pseudo-Parabolic Type Equation with Nonlinear Sources AU - Li , Yinghua AU - Cao , Yang AU - Wang , Yifu JO - Communications in Mathematical Research VL - 1 SP - 37 EP - 46 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19103.html KW - pseudo-parabolic equation, existence, uniqueness, asymptotic behavior. AB -
This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources. Furthermore, we discuss the asymptotic behavior of solutions as the viscosity coefficient $k$ tends to zero.