Existence and uniqueness of an \(R_ \nu\)-generalized solution of the Dirichlet problem for the Lamé system with a corner singularity

DOI10.1134/S0012266119060107zbMath1433.35076OpenAlexW2961684667MaRDI QIDQ2332107

E. I. Rukavishnikova, Victor Anatolievich Rukavishnikov

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119060107

zbMATH Keywords

two-dimensional domainexistence and uniqueness of solutionsLamé system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Algorithm for Processing the Results of Calculations for Determining the Body of Optimal Parameters in the Weighted Finite Element Method ⋮ Theoretical analysis and construction of numerical method for solving the Navier-Stokes equations in rotation form with corner singularity ⋮ New Numerical Approach for the Steady-State Navier–Stokes Equations with Corner Singularity ⋮ Weighted finite element method and body of optimal parameters for elasticity problem with singularity ⋮ Gadolin problem of assembling a prestressed two-layer pipe

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