| Abstract: |
| In this study, we consider the existence and stability of steady-state solutions to
reaction-diffusion equations with a bistable nonlinearity on a graph of finite length.
In this presentation, we first consider a ``star-graph`` consisting of a single junction and
show the existence and stability of non-constant steady-state solutions when the edge lengths are sufficiently large.
We then use these results to show the existence and stability of non-constant steady-state solutions on more complex graphs.
This is a joint work with Professor Yoshihisa Morita. |
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