On the manifold of closed hypersurfaces in Rn

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Abstract

Several results from differential geometry of hypersurfaces in Rn are derived to form a tool box for the direct mapping method. The latter technique has been widely employed to solve problems with moving interfaces, and to study the asymptotics of the induced semiows.

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Prüss, J., & Simonett, G. (2013). On the manifold of closed hypersurfaces in Rn. Discrete and Continuous Dynamical Systems- Series A, 33(11–12), 5407–5428. https://doi.org/10.3934/dcds.2013.33.5407

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