Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity

Mohamed Majdoub, Sarah Otsmane, Slim Tayachi

In this paper we prove local well-posedness in Orlicz spaces for the biharmonic heat equation ${\partial }_{t}u+{\Delta }^{2}u=f(u),t>0,x\in {\mathbb{R}}^N,$ with $f(u)\sim \mbox{e}^{u^2}$ for larg…