scholarly journals The eigenvalue gap for second-order elliptic operators with dirichlet boundary conditions

1990 ◽  
Vol 88 (1) ◽  
pp. 46-70 ◽  
Author(s):  
E.B Davies ◽  
M.M.H Pang
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Elliptic Operators ◽  
Second Order ◽  
Dirichlet Boundary Conditions ◽  
Eigenvalue Gap ◽  
Second Order Elliptic Operators

scholarly journals On Dirichlet boundary conditions in second-order FE2-schemes

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 423-424
Author(s):  
Hans-Georg Sehlhorst ◽  
Alexander Düster ◽  
Ralf Jänicke ◽  
Stefan Diebels
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Second Order ◽  
Dirichlet Boundary Conditions

scholarly journals Sharp estimates for iterated Green functions

2002 ◽  
Vol 132 (1) ◽  
pp. 91-120 ◽  
Author(s):  
H.-Ch. Grunau ◽  
G. Sweers
Keyword(s):  
Dirichlet Boundary ◽  
Elliptic Systems ◽  
Elliptic Operators ◽  
Dirichlet Boundary Conditions ◽  
Green Functions ◽  
Pointwise Estimates ◽  
Polyharmonic Operator ◽  
Sharp Estimates ◽  
Conditioned Brownian Motion ◽  
Second Order Elliptic Operators

Optimal pointwise estimates from above and below are obtained for iterated (poly)harmonic Green functions corresponding to zero Dirichlet boundary conditions. For second-order elliptic operators, these estimates hold true on bounded C1,1 domains. For higher-order elliptic operators we have to restrict ourselves to the polyharmonic operator on balls. We will also consider applications to non-cooperatively coupled elliptic systems and to the lifetime of conditioned Brownian motion.

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