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Article Contents

# Global attractors for strongly damped wave equations with subcritical-critical nonlinearities

• This paper is concerned with the nonlinear strongly damped wave equation \begin{eqnarray*} u_{t t}-\Delta u_t-\Delta u+f(u_t)+g(u)=h, \end{eqnarray*} with Dirichlet boundary conditions and a time-independent external force $h$. In the presence of nonlinearities $f$ and $g$ of subcritical and critical growth, respectively, the existence of a global attractor of optimal regularity is established.
Mathematics Subject Classification: Primary: 35B33, 35B40, 35L05; Secondary: 35M10.

 Citation:

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