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Items for "Cosserat spectrum"

The weak Lq-Cosserat spectrum for the first boundary value problem in the half-space. Applications to Stokes’ and Lamé’s system

In the upper half-space H we study weak Lq-solutions (1 < q < ∞) of the eigenvalue problem Δv = λ∇ div v in H, v|∂H = 0...

Keywords: weak Lq-solutions, Dirichlet problem, Neumann problem, Stokes’ system, Cosserat spectrum

01/2006 | Analysis, Oldenbourg Wissenschaftsverlag
Lq-solutions to the Cosserat spectrum in bounded and exterior domains

If G ⊂ Rn is a bounded or an exterior domain with sufficiently smooth boundary then for the eigenvalue problem
Δu = λ∇ div u,  u|∂G = 0
λ = 1 is an eigenvalue of infinite multiplicity and λ = 2 is an accumulation point of eigenvalues of finite multiplicity...

Keywords: Cosserat spectrum, Lamé’s equation

01/2006 | Analysis, Oldenbourg Wissenschaftsverlag
An operator related to the Cosserat spectrum. Applications

If G ⊂ Rn (n ≥ 2) is either a bounded or an exterior domain, weak Lq-solutions of Δv = ∇p in G, v|∂G = 0 are considered...

Keywords: Cosserat spectrum, divergence equation, Stokes’s equation, Lamé’ equation

01/2006 | Analysis, Oldenbourg Wissenschaftsverlag