Three-Field Modelling of Nonlinear Nonsmooth Boundary Value Problems and Stability of Differential Mixed Variational Inequalities

@inproceedings{Gwinner2014ThreeFieldMO,
  title={Three-Field Modelling of Nonlinear Nonsmooth Boundary Value Problems and Stability of Differential Mixed Variational Inequalities},
  author={Joachim Gwinner},
  year={2014}
}
and Applied Analysis 3 By the boundary conditions, the previous second term vanishes. The second inequality in the Signorini boundary condition (2) 3 tells us that we have to require that σ belongs to the convex cone as follows: H + := H + (div, Ω, Γ S ) := {τ ∈ H (div, Ω) : γ^τ | ΓS ≥ 0} , (7) where “≥ 0” means that ⟨γ 0 󰜚, γ^τ⟩ ≥ 0 for any smooth function 󰜚 on Ω with 󰜚 = 0 on Γ D and 󰜚 ≥ 0 on Γ S . Thus we obtain for any τ ∈ H + (div, Ω, Γ S ), (p, τ − σ) L 2 (Ω,R) + (u, div (τ − σ))L2… CONTINUE READING

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