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Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator. (English) Zbl 1356.35057

Summary: The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.

MSC:

35B41 Attractors
35L80 Degenerate hyperbolic equations
35L71 Second-order semilinear hyperbolic equations
35L15 Initial value problems for second-order hyperbolic equations
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