On the \(L^1\) stability to a generalized Degasperis-Procesi equation
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 \(L^1(\mathbb R)\).
scientific article; zbMATH DE number 7021754