Persistence property and asymptotic description for DGH equation with strong dissipation (Q1956003)

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scientific article; zbMATH DE number 6175045
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Persistence property and asymptotic description for DGH equation with strong dissipation
scientific article; zbMATH DE number 6175045

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    Persistence property and asymptotic description for DGH equation with strong dissipation (English)
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    13 June 2013
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    Summary: The present work is mainly concerned with the Dullin-Gottwald-Holm (DGH) equation with strong dissipation. We establish a sufficient condition to guarantee global-in-time solutions, then present persistence property for the Cauchy problem, and describe the asymptotic behavior of solutions for compactly supported initial data.
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