This study deals with the parabolic type Kirchhoff equation with logarithmic nonlinearity in a bounded domain. We obtain the finite time blow-up of solutions. This improves and extends some previous studies.
The main goal of this work is to study the inital boundary value problem for a higher-order parabolic equation with logarithmic source termWe obtain blow-up at +∞ of weak solutions, by employing potential well technique. This improves and extends some previous studies.
This paper deal with the initial boundary value problem for a higher-order heat equation with logarithmic source termWe obtain blow-up of weak solutions in the finite time, by employing potential well technique and concave technique. In addition, the upper bound of blow-up time is considered. This improves and extends some previous studies.
In this work, we investigate the initial boundary-value problem for a parabolic type Kirchhoff equation with logarithmic nonlinearity. We get the existence of global weak solution, by the potential wells method and energy method. Also, we get results of the decay and finite time blow up of the weak solutions.
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