Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients

Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients

Let be a smooth domain in (not necessarily bounded), and let be a linear elliptic differential operator of order with singular coefficients acting in . Under some assumptions of singularity for the coefficients of , we consider the Friedrichs extension and study the convergence of spectral expansion...

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Veröffentlicht in:Mathematical Notes 2022-04, Vol.111 (3-4), p.455-469
Hauptverfasser: Serov, V. S., Kyllönen, U. M.
Format: Artikel
Sprache:eng
Schlagworte:
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Convergence
Differential equations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Sobolev space
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Beschreibung
Zusammenfassung:Let be a smooth domain in (not necessarily bounded), and let be a linear elliptic differential operator of order with singular coefficients acting in . Under some assumptions of singularity for the coefficients of , we consider the Friedrichs extension and study the convergence of spectral expansions in Sobolev spaces.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434622030130