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Matematicheskie Zametki, 2009, Volume 86, Issue 6, Pages 892–902
DOI: https://doi.org/10.4213/mzm5190 (Mi mzm5190) 		 
Conditions on Determining Functionals for Subsets of Sobolev Space

T. Yu. Semenova

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm5190
Abstract: We study conditions for the set of determining functionals and apply the obtained results to studying the uniqueness of the solution of the Dirichlet problem for elliptic equations of second order.
Keywords: elliptic equation of second order, Dirichlet problem, determining functional, linear continuous functional, Sobolev space, Sturm–Liouville problem, Fourier coefficient.
Received: 09.04.2008
Revised: 02.03.2009
English version:
Mathematical Notes, 2009, Volume 86, Issue 6, Pages 831–841
DOI: https://doi.org/10.1134/S000143460911025X
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: T. Yu. Semenova, “Conditions on Determining Functionals for Subsets of Sobolev Space”, Mat. Zametki, 86:6 (2009), 892–902; Math. Notes, 86:6 (2009), 831–841
Citation in format AMSBIB
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