Abstract
This paper is concerned with the long time dynamics of the semilinear wave equation including localized interior damping term under acoustic boundary conditions. With appropriate assumptions, the existence of a global attractor for the semigroup generated by the considered problem is proved. Moreover, imposing more strict conditions on the nonlinearity in the equation, the regularity and finite dimensionality of the attractor are established.
| Original language | English |
|---|---|
| Pages (from-to) | 1221-1257 |
| Number of pages | 37 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 40 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 2023 |
Keywords
- Acoustic boundary condition
- Global attractor
- Wave equation
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