Potentials with integrable density in the solution of bending of thin plates

DOI10.1016/0893-9659(89)90056-6zbMath0703.73043OpenAlexW2073315039MaRDI QIDQ916483

Christian Constanda

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90056-6

zbMATH Keywords

transverse shear deformationregular solutionsDirichlet and Neumann boundary value problemsgeneralized Fourier series techniqueHölder continuous dataL(sup 2)- solution

Mathematics Subject Classification ID

Plates (74K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fourier series and coefficients in several variables (42B05) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (3)

Fundamental sequences of functions in the approximation of solutions to exterior problems in the bending of thin micropolar plates ⋮ A generalized Fourier approximation in micropolar elasticity ⋮ Complete systems of functions for the exterior Dirichlet and Neumann problems in the bending of Mindlin-type plates

Cites Work

• Unnamed Item
• Uniqueness in the theory of bending of elastic plates
• Existence and uniqueness in the theory of bending of elastic plates
• Differentiability of the solution of a system of singular integral equations in elasticity

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