Abstract
We consider a question posed in [1], namely the blow-up of the PDEut+(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,∞].
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