Trace and inverse trace of Steklov eigenvalues (Q285645)

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scientific article; zbMATH DE number 6582633
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Trace and inverse trace of Steklov eigenvalues
scientific article; zbMATH DE number 6582633

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    Trace and inverse trace of Steklov eigenvalues (English)
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    19 May 2016
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    The main result of the present paper establishes some estimates for the trace and inverse trace of Steklov eigenvalues for functions on compact oriented Riemannian surfaces with nonempty boundary. The proofs strongly rely on conjugate harmonic forms and their properties in combination with the Hodge decomposition theorem.
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    differential form
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    Steklov eigenvalue
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    Hodge-Laplace operator
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