On the correct solvability of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip

DOI10.1134/S1064562421040098zbMath1477.80002OpenAlexW3212413400MaRDI QIDQ2246877

A. V. Kostin, V. A. Kostin, D. V. Kostin

Publication date: 16 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421040098

zbMATH Keywords

boundary value problemscorrect solvabilitystrongly continuous cosine functions and transformation semigroups

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Laplace transform (44A10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

On the solvability of the Cauchy problem for the wave equation of aerodynamics describing the supersonic flow of thin surfaces

Cites Work

• Operator cosine functions and boundary value problems
• Boundary values of solutions of operator-differential equations
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