Bianchini, StefanoLeccese, Giacomo Maria2024-02-152024-02-152023-11-23https://openscience.sissa.it/handle/1963/35470SISSA 15/2023/MATEWe consider a question posed in [1], namely the blow-up of the PDE ut + (b(t, x)u1+k)x = uxx when b is uniformly bounded, Lipschitz and k = 2. We give a complete answer to the behavior of solutions when b belongs to the Lorentz spaces b ∈ Lp,∞, p ∈ (2,∞], or bx ∈ Lp,∞, p ∈ (1,∞].enPreprint