## Asymptotic behavior of a class of nonlinear evolution equations.(English)Zbl 1180.35114

Summary: Using a new method (or technology), we prove the existence and upper semi-continuity of the global attractors $${\mathcal A}_\omega$$ for a class of nonlinear evolution equations in $$D(A)\times D(A)$$, where the nonlinear term $$f$$ satisfies a critical exponential growth condition.

### MSC:

 35B40 Asymptotic behavior of solutions to PDEs 35B41 Attractors 47J35 Nonlinear evolution equations

### Keywords:

upper semi-continuity; critical exponential growth
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### References:

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