Functional analysis. Applications in mechanics and inverse problems.

zbMath0997.74003MaRDI QIDQ1611470

I. I. Vorovich, Leonid P. Lebedev, Graham M. L. Gladwell

Publication date: 21 August 2002

Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencelinear elasticityregularizationHilbert spaceinverse problemsmetric spacenormed linear spaceself-adjoint operatorplatecompact setcompact linear operatorfunctional analysisrodmembranemechanicsimbeddingtheory of functionscomplex numbersreal numbersadjoint operatorEuler-Bernoulli beam theoryRiesz's representation theorem

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Applications of operator theory in chemistry and life sciences (47N60) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Thin bodies, structures (74Kxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)

Related Items (18)

On solvability of fractional coupled hybrid systems ⋮ Fractal spherical harmonics ⋮ MULTIVARIATE AFFINE FRACTAL INTERPOLATION ⋮ Cluster Points of Slow Sequences ⋮ Optimal thickness distribution of stepped nonlinear Gao beam ⋮ Fractal approximation ⋮ An extended Ulm-like method for inverse singular value problems with multiple and/or zero singular values ⋮ Fluid models from kinetic models using a geometric averaging procedure ⋮ Construction of Fractal Bases for Spaces of Functions ⋮ Extended Newton-type method for inverse singular value problems with multiple and/or zero singular values ⋮ An inexact Newton-type method for inverse singular value problems ⋮ On the unsolvability of inverse singular value problems almost everywhere ⋮ Fundamental sets of fractal functions ⋮ Fractal interpolants on the unit circle ⋮ Linear pantographic sheets: existence and uniqueness of weak solutions ⋮ Convergence of a Ulm-like method for square inverse singular value problems with multiple and zero singular values ⋮ Statement and solution of optimal problems for independent stress and deformation control by eigenstrain ⋮ Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values

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