On the absolute and uniform convergence of generalized Fourier integrals in vector eigenfunctions of the operator of elasticity theory in an unbounded domain

DOI10.1134/S0012266115010127zbMath1316.35277MaRDI QIDQ2345843

M. Ismati, N. M. Ismatov

Publication date: 21 May 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceFourier integralselasticity theory

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• Eigenfunction expansions and scattering theory for the wave equation in an exterior region
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• Eigenfunction expansion associated with the operator-$\Delta$ in the exterior domain

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