Abstract
Let \(\Omega\) be a smooth domain in \(\mathbb{R}^n\) (not necessarily bounded), and let \(A\) be a linear elliptic differential operator of order \(2m\) with singular coefficients acting in \(L^2(\Omega)\). Under some assumptions of singularity for the coefficients of \(A\), we consider the Friedrichs extension and study the convergence of spectral expansions in Sobolev spaces.
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Serov, V.S., Kyllönen, U.M. Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients. Math Notes 111, 455–469 (2022). https://doi.org/10.1134/S0001434622030130
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DOI: https://doi.org/10.1134/S0001434622030130