##### Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation

Review articleOpen access###### Irena Lasiecka - No affiliation found

**2002/06/01**DOI: 10.1016/S0022-247X(02)00006-9

*Full-length article***Journal:**Journal of Mathematical Analysis and Applications

##### Abstract:

AbstractWe consider a semilinear wave equation, defined on a two-dimensional bounded domain Ω, with a nonlinear dissipation. Our main result is that the flow generated by the model is attracted by a finite dimensional global attractor. In addition, this attractor has additional regularity properties that depend on regularity properties of nonlinear functions in the equation. To our knowledge this is a first result of this type in the context of higher dimensional wave equations.

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