Asymptotic Behavior of Solutions for Kirchhoff Type Dissipative Wave Equations in Unbounded Domains

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  • Kirchhoff Type Dissipative Wave Equations in Unbounded Domains

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Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to H2(RN)×H1(RN) in unbounded domains. When the coefficient ρ or the initial energy E(0) is small at least, we show the global existence theorem and derive decay estimates of energies in the L2-frame. Moreover, when the initial data belong to L1(RN)×L1(RN) in addition, we improve the decay rates of the solutions.

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