Numerical solution of mixed boundary value problems for second-order elliptic equations in an arbitrary domain

1985 ◽  
Vol 25 (1) ◽  
pp. 129-135
Author(s):  
G.P. Astrakhantsev
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Arbitrary Domain ◽  
Mixed Boundary Value Problems ◽  
Second Order Elliptic Equations

Linear second order elliptic equations with Venttsel boundary conditions

1991 ◽  
Vol 118 (3-4) ◽  
pp. 193-207 ◽  
Author(s):  
Yousong Luo ◽  
Neil S. Trudinger
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Existence Result ◽  
Boundary Value ◽  
Second Order ◽  
Classical Solutions ◽  
Schauder Estimate ◽  
Second Order Elliptic Equations

SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

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