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Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation - MaRDI portal

Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation (Q558363)

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scientific article; zbMATH DE number 2186492
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Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation
scientific article; zbMATH DE number 2186492

    Statements

    Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation (English)
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    5 July 2005
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    The authors prove the global existence of solutions to an initial boundary value problem for a Kirchhoff-Carrier type wave equation with a general nonlinear damping and a nonlinear polynomial source term. Energy decay estimates are also established.
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    wave equation
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    global existence
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    decay estimates
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    initial boundary value problem
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