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Abstract In this paper we establish commutator estimates for the Dirichlet-to-Neumann Map associated to a divergence form elliptic operator in the upper half-space R + n + 1 : =… Click to show full abstract
Abstract In this paper we establish commutator estimates for the Dirichlet-to-Neumann Map associated to a divergence form elliptic operator in the upper half-space R + n + 1 : = { ( x , t ) ∈ R n × ( 0 , ∞ ) } , with uniformly complex elliptic, L ∞ , t-independent coefficients. By a standard pull-back mechanism, these results extend corresponding results of Kenig, Lin and Shen for the Laplacian in a Lipschitz domain, which have application to the theory of homogenization.
Keywords:
commutators dirichlet;
estimates commutators;
neumann map;
map associated;
dirichlet neumann
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!