Abstract
We show that the initial boundary value problem for the diffusion equation uL ⊘(ux)x with bounded Neumann boundary conditions has at most one smooth solutions on the infinite cylinder provided the nonmonotonic function ⊘ is piecewise continuously differentiable on the reals has at most finitely many extreme values on any bounded interval,satisfies the coercivity condition s⊘(s) ≤ cs2, c < 0 and has a derivative which is nonzero almost everywhere. In particular this result provides uniquencess for the model cubic ⊘(s)=s3 /3-3s2/2+2s proposed by Holling and Nohel
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