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On existence of weak solutions for one-dimensional forward-backward diffusion equations |
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| Authors: | Kewei Zhang |
| Affiliation: | Department of Mathematics, University of Sussex, Brighton BN1 9RF, UK |
| Abstract: | We establish the existence of infinitely many weak solutions for the general one-dimensional forward-backward diffusion equation ut=σ(ux)x under the homogeneous Neumann boundary condition by rephrasing it as a first-order differential inclusion problem. |
| Keywords: | Forward-backward diffusion equation One-dimensional Neumann problem Partial differential inclusion Constraint Relaxation property Infinitely many solutions |
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