On blow-up conditions for nonlinear higher-order evolution inequalities

For the problem (Formula presented.) where ui∈L1,loc(Rn) and aα are Caratheodory functions such that (Formula presented.) for almost all (x,t)∈R+n+1 and for all ζ∈R, we obtain exact conditions on the function f guaranteeing that any global weak solution is identically zero. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.