Abstract. In this work, we give a simple approach to a priori estimates for the singular parabolic p(x,t)-Laplace Dirichlet problem in domain $\Omega $ with the boundary $\partial \Omega \in C^{1+\beta }$ with $\beta \in (0,1)$.

DOI: 10.14232/actasm-019-762-1

AMS Subject Classification (1991): 65M15, 65M60, 35K65

Keyword(s): finite elements, variable exponent, $p(x, t)$-Laplacian, regularized problem

received 31.12.2019, revised 1.2.2021, accepted 1.2.2021. (Registered under 262/2019.)