We prove the existence of a global attractor for a strongly damped semilinear wave equation in the whole space, with a quite general nonlinearity at critical growth and a nonlinear weak damping term, generalizing some previously known results.
Conti, M., Pata, V., Squassina, M., Strongly damped wave equations in R^3 with critical nonlinearities, <<COMMUNICATIONS IN APPLIED ANALYSIS>>, 2005; 9 (N/A): 161-176 [http://hdl.handle.net/10807/92791]
Strongly damped wave equations in R^3 with critical nonlinearities
Squassina, MarcoUltimo
2005
Abstract
We prove the existence of a global attractor for a strongly damped semilinear wave equation in the whole space, with a quite general nonlinearity at critical growth and a nonlinear weak damping term, generalizing some previously known results.
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