Conditions on determining functionals for subsets of Sobolev space

DOI10.1134/S000143460911025XzbMath1190.35071OpenAlexW2094783006MaRDI QIDQ845221

T. Yu. Semenova

Publication date: 5 February 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143460911025x

zbMATH Keywords

Dirichlet problemSobolev spaceSturm-Liouville problemFourier coefficientelliptic equation of second orderdetermining functionallinear continuous functional

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Weak solutions to PDEs (35D30) Applications of functional analysis to differential and integral equations (46N20)

Cites Work

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• Determining finite volume elements for the 2D Navier-Stokes equations
• A class of determining functionals for quasilinear elliptic problems
• Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
• Approximation by step functions of functions belonging to Sobolev spaces and uniqueness of solutions of differential equations of the form $ u=F(x,u,u')$

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