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- W2794249501 startingPage "2043" @default.
- W2794249501 abstract "Let $Omegasubset R^N$ be a bounded open set with Lipschitz continuous boundary $partial Omega$. We define a fractional Dirichlet-to-Neumann operator and prove that it generates a strongly continuous analytic and compact semigroup on $L^2(partial Omega)$ which can also be ultracontractive. We also use the fractional Dirichlet-to-Neumann operator to compare the eigenvalues of a realization in $L^2(Omega)$ of the fractional Laplace operator with Dirichlet boundary condition and the regional fractional Laplacian with the fractional Neumann boundary conditions." @default.
- W2794249501 created "2018-03-29" @default.
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- W2794249501 date "2015-01-01" @default.
- W2794249501 modified "2023-10-18" @default.
- W2794249501 title "A fractional Dirichlet-to-Neumann operator on bounded Lipschitz domains" @default.
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- W2794249501 doi "https://doi.org/10.3934/cpaa.2015.14.2043" @default.
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