Abstract:
This paper is concerned with the absence of nontrivial nonnegative global weak solutions for a quasilinear parabolic differential inequality in the higher dimensional space ($N\geq2$). Assuming that the non-homogeneous Dirichlet boundary condition relies on both time and space, we derive a criterion of the absence which depends on the effects of quasilinear diffusion and the behavior of time-varying coefficient precisely.
Key words and phrases:quasilinear parabolic differential inequality, exterior problem, non-homogeneous Dirichlet boundary condition, nonexistence.
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