Junctions of singularly degenerating domains with different limit dimensions. II

DOI10.1007/BF02366142zbMath0976.35013OpenAlexW2086882730MaRDI QIDQ1585409

Sergueï A. Nazarov

Publication date: 13 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366142

zbMATH Keywords

integral equationasymptotic formulasmixed boundary problemthin rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• Non-homogeneous media and vibration theory
• Approximation of a two dimensional problem of junctions
• Numerical study of a junction between a three-dimensional elastic structure and a plate
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• Electromagnetic Scattering by a Slender Body of Revolution: Axially Incident Plane Wave
• JUSTIFICATION OF ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF NONSELFADJOINT SINGULARLY PERTURBED ELLIPTIC BOUNDARY VALUE PROBLEMS
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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