Conditions on Determining Functionals for Subsets of Sobolev Space
Matematičeskie zametki, Tome 86 (2009) no. 6, pp. 892-902

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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
Mots-clés : Sturm–Liouville problem, Fourier coefficient.
@article{MZM_2009_86_6_a7,
     author = {T. Yu. Semenova},
     title = {Conditions on {Determining} {Functionals} for {Subsets} of {Sobolev} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {892--902},
     publisher = {mathdoc},
     volume = {86},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_6_a7/}
}
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T. Yu. Semenova. Conditions on Determining Functionals for Subsets of Sobolev Space. Matematičeskie zametki, Tome 86 (2009) no. 6, pp. 892-902. http://geodesic.mathdoc.fr/item/MZM_2009_86_6_a7/