Abstract
In this paper, we study, for the first time, the nonexistence of solutions to systems of parabolic differential inequalities in 2D exterior domains with Dirichlet and Neumann boundary conditions. Our obtained results complete those derived recently by Yuhua Sun [Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of R-N, Pacific Journal of Mathematics. 293(1) (2018) 245-256] in the N-dimensional case, N >= 3, under Dirichlet boundary condition.