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Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source - MaRDI portal

Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source (Q713220)

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scientific article; zbMATH DE number 6099229
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Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source
scientific article; zbMATH DE number 6099229

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    Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source (English)
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    26 October 2012
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    Summary: We investigate the blow-up and decay phenomenon of solutions for a viscoelastic equation with a nonlinear source. Even for vanishing initial energy, we show the solution blows up in nite time. We also prove the solution decays under suitable conditions.
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    blow up
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    polynomially decay
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    viscoelastic
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