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We obtain a necessary and a sufficient condition expressed in terms of Wienertype tests involving the parabolic $W\_{q'}^{2,1}$- capacity, where$q'=\frac{q}{q-1}$, for the existence of large solutions to equation$\prt\_tu-\Delta u+u^q=0$ in non-cylindrical domain, where $q\textgreater{}1$.Also, we provide a sufficient condition associated with equation$\prt\_tu-\Delta u+e^u-1=0$ . Besides, we apply our results to equation:$\prt\_tu-\Delta u+a|\nabla u|^p+bu^{q}=0$ for $a,b\textgreater{}0$, $11$.

Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain