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.
DOI
10.1090/S0002-9947-1985-0797062-5
Source Publication
Transactions of the American Mathematical Society
Recommended Citation
Lair, A. V. (1985). Uniqueness for a forward backward diffusion equation. Transactions of the American Mathematical Society, 291(1), 311–311. https://doi.org/10.1090/S0002-9947-1985-0797062-5
COinS
Comments
© Copyright 1985 American Mathematical Society
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Reviewed at MR0797062