Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
From MaRDI portal
Publication:359860
DOI10.1186/1687-2770-2011-53zbMath1451.35210OpenAlexW2097459450WikidataQ59268913 ScholiaQ59268913MaRDI QIDQ359860
Angelica Malaspina, Vita Leonessa, Alberto Cialdea
Publication date: 23 August 2013
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2011-53
Classical linear elasticity (74B05) Integral representations of solutions to PDEs (35C15) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)
Related Items
The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications ⋮ An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics ⋮ Asymptotic expansions of the error for hyper-singular integrals with an interval variable ⋮ On the Dirichlet problem for the Stokes system in multiply connected domains ⋮ On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation ⋮ A complement to potential theory in the Cosserat elasticity
Cites Work
- A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics
- Boundary value problems for a compressible Stokes system in bounded domains in \(\mathbb R^n\)
- The integral equation method and the Neumann problem for the Poisson equation on NTA domains
- A general theory of hypersurface potentials
- A mixed boundary value problem for the unsteady Stokes system in a bounded domain in \(\mathbb{R}^n\)
- Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains
- ON THE TRACTION PROBLEM FOR THE STOKES SYSTEM
- The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝn
