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Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem - MaRDI portal

Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem (Q2288394)

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scientific article; zbMATH DE number 7153097
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English
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
scientific article; zbMATH DE number 7153097

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    Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem (English)
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    17 January 2020
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    The authors consider a nonlinear nonautonomous transmission problem for the Laplace equation with a perforated domain and a small inclusion. They transform the perturbed boundary value problem into a functional equation and prove that the problem has solutions by the functional analytic approach. Moreover, they get the local uniqueness of such solutions.
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    nonlinear nonautonomous transmission problem
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    local uniqueness of the solutions
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    singularly perturbed perforated domain
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