Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610037 | Journal of Differential Equations | 2015 | 16 Pages |
Abstract
We discuss stability of square root domains for uniformly elliptic partial differential operators La,Ω,Γ=−∇⋅a∇La,Ω,Γ=−∇⋅a∇ in L2(Ω)L2(Ω), with mixed boundary conditions on ∂Ω , with respect to additive perturbations. We consider open, bounded, and connected sets Ω∈RnΩ∈Rn, n∈N\{1}n∈N\{1}, that satisfy the interior corkscrew condition and prove stability of square root domains of the operator La,Ω,ΓLa,Ω,Γ with respect to additive potential perturbations V∈Lp(Ω)+L∞(Ω)V∈Lp(Ω)+L∞(Ω), p>n/2p>n/2.Special emphasis is put on the case of uniformly elliptic systems with mixed boundary conditions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fritz Gesztesy, Steve Hofmann, Roger Nichols,