Abstract
The main purpose of this paper is to study the following semi‐linear structurally damped wave equation with nonlinearity of derivative type: with μ>0, n ≥ 1, σ∈(0,2], and p>1. In particular, we would like to prove the nonexistence of global weak solutions by using a new test function and suitable sign assumptions on the initial data in both the subcritical case and the critical case.
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