Application of the method of straight lines to the solution of boundary value problems for certain non-selfconjugate two-dimensional second order elliptic equations

1965 ◽  
Vol 5 (5) ◽  
pp. 240-246 ◽  
Author(s):  
E.N. Sarmin
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Boundary Value ◽  
Second Order ◽  
Two Dimensional ◽  
Method Of Straight Lines ◽  
Straight Lines ◽  
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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