The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization

2016 ◽  
Vol 207 (3) ◽  
pp. 418-443 ◽  
Author(s):  
S E Pastukhova
Keyword(s):  
Neumann Problem ◽  
Elliptic Equations ◽  
The Neumann Problem

scholarly journals Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

2020 ◽  
Author(s):  
Ariel Barton ◽  
Steve Hofmann ◽  
Svitlana Mayboroda
Keyword(s):  
Neumann Problem ◽  
Elliptic Equations ◽  
Divergence Form ◽  
Higher Order ◽  
Elliptic Operators ◽  
Layer Potentials ◽  
The Neumann Problem

Abstract We solve the Neumann problem, with nontangential estimates, for higher-order divergence form elliptic operators with variable $t$-independent coefficients. Our results are accompanied by nontangential estimates on higher-order layer potentials.

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