Title

Uniqueness for a Forward Backward Diffusion Equation

Document Type

Article

Publication Date

1985

Abstract

Let Φ be continuous, have at most finitely many local extrema on any bounded interval, be twice continuously differentiable on any closed interval on which there is no local extremum and be strictly decreasing on any closed interval on which it is decreasing. We show that the initial-boundary value problem for ut=Φ(ux)x with Neumann boundary conditions has at most one smooth solution. Abstract (c) American Mathematical Society.

Comments

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Reviewed at MR0797062

DOI

10.1090/S0002-9947-1985-0797062-5

Source Publication

Transactions of the American Mathematical Society

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