Abstract:This paper investigates the complete regularity of the weak solutions, the existence of the strong (X, X 2πΌ )-global and exponential attractors, and their stability on dissipative index πΌ for the structurally damped Kirchhoff wave equation:, together with the Dirichlet boundary condition, where the perturbed parameter πΌ β (1β2, 1) is called a dissipative index, X is energy space, and X 2πΌ is strong solution space. We show that when the nonlinearity π (u) is of supercritical growth:β€ p < pπΌ , (i) the weak… Show more
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