Layer Potentials for Elastostatics and Hydrostatics in Curvilinear Polygonal Domains

DOI10.2307/2001751zbMath0711.35041OpenAlexW4250720160MaRDI QIDQ3496610

Jeff E. Lewis

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001751

zbMATH Keywords

Fredholm indicesCarother's paradoxoperators of Mellin's type

Mathematics Subject Classification ID

Related Items (15)

Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks ⋮ On a transmission problem for two systems of elastostatics with polygonal interface ⋮ Interval analysis techniques for boundary value problems of elasticity in two dimensions ⋮ Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions ⋮ Layer potentials \(C^*\)-algebras of domains with conical points ⋮ The quasi-static plasmonic problem for polyhedra ⋮ Single and double layer potentials on domains with conical points. I: Straight cones ⋮ The transmission problem on a three-dimensional wedge ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Stokes problem of the cornered domain in the plane ⋮ The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points ⋮ Boundary Problems for Harmonic Functions and Norm Estimates for Inverses of Singular Integrals in Two Dimensions ⋮ On the traction problem for the Lamé system on curvilinear polygons ⋮ Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains ⋮ On stability of approximation methods for the Muskhelishvili equation

Cites Work

• Boundary value problems for the systems of elastostatics in Lipschitz domains
• On the determination of higher order terms of singular elastic stress fields near corners
• Singular integral operators on curves with corners
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Pseudodifferential operators of mellin type
• Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
• The elastic‐field behavior in the neighborhood of a crack of arbitrary angle
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