On the \(L^1\) stability to a generalized Degasperis-Procesi equation (Q1722118)
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scientific article; zbMATH DE number 7021754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(L^1\) stability to a generalized Degasperis-Procesi equation |
scientific article; zbMATH DE number 7021754 |
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On the \(L^1\) stability to a generalized Degasperis-Procesi equation (English)
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14 February 2019
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Summary: A nonlinear generalized Degasperis-Procesi equation is investigated. Assuming that the strong solution of the equation is bounded in the sense of \(L^\infty (\mathbb R\)-norm and the initial data belong to the space \(L^1(\mathbb R) \cap L^2(\mathbb R)\), we prove that the solutions are stable in the space \(L^1(\mathbb R)\).
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