Iterated Neumann problem for the higher order Poisson equation

2006 ◽  
Vol 279 (1-2) ◽  
pp. 38-57 ◽  
Author(s):  
H. Begehr ◽  
C. J. Vanegas
Keyword(s):  
Neumann Problem ◽  
Poisson Equation ◽  
Higher Order

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.

scholarly journals Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp

2005 ◽  
Vol 310 (2) ◽  
pp. 397-411 ◽  
Author(s):  
Gabriel Acosta ◽  
María G. Armentano ◽  
Ricardo G. Durán ◽  
Ariel L. Lombardi
Keyword(s):  
Neumann Problem ◽  
Poisson Equation ◽  
The Poisson Equation
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