most citedOn the nature of ill-posedness of the forward-backward heat equation

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math.AP2008★ 16 cited

On the nature of ill-posedness of the forward-backward heat equation

Marina Chugunova, Illya M. Karabash, Sergei G. Pyatkov

We study the Cauchy problem with periodic initial data for the forward-backward heat equation defined by the J-self-adjoint linear operator L depending on a small parameter. The pr…