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The local stability of solutions for a nonlinear equation - MaRDI portal

The local stability of solutions for a nonlinear equation (Q1724947)

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scientific article; zbMATH DE number 7023055
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The local stability of solutions for a nonlinear equation
scientific article; zbMATH DE number 7023055

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    The local stability of solutions for a nonlinear equation (English)
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    14 February 2019
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    Summary: The approach of Kruzkov's device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space \(L^1(R)\) by assuming that the initial value only lies in the space \(L^1(R) \cap L^\infty(R)\).
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