%A Yuge Du,Shuying Tian %T Existence and Blow-Up of a Parabolic Equation with Logarithmic Nonlinearity %0 Journal Article %D 2021 %J Acta mathematica scientia,Series A %R %P 1816-1829 %V 41 %N 6 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16554.shtml} %8 2021-12-26 %X

In this paper, we consider the initial boundary value problem of a viscoelastic equation with logarithmic nonlinearity. Under some suitable conditions, we obtain the existence of global weak solutions. Otherwise, we get that the solution does not blow up in any finite time. This is different from the situation of the viscoelastic equation with a polynomial nonlinearity, in which case the solution blows up in finite time.