Fredholm radius of the Neumann operator

1980 ◽  
pp. 102-124
Author(s):  
Josef Král
Keyword(s):  
Neumann Operator ◽  
Fredholm Radius

scholarly journals Invariance of the Fredholm radius of the Neumann operator

1990 ◽  
Vol 115 (2) ◽  
pp. 147-164
Author(s):  
Dagmar Medková
Keyword(s):  
Neumann Operator ◽  
Fredholm Radius

scholarly journals The $$\overline \partial $$ -Neumann operator on Lipschitz q-pseudoconvex domains

2011 ◽  
Vol 61 (3) ◽  
pp. 721-731
Author(s):  
Sayed Saber
Keyword(s):  
Pseudoconvex Domains ◽  
Neumann Operator

scholarly journals Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds

2021 ◽  
Author(s):  
Tim Binz
Keyword(s):  
Boundary Conditions ◽  
Elliptic Operator ◽  
Compact Manifold ◽  
Analytic Semigroup ◽  
Continuous Functions ◽  
Analytic Semigroups ◽  
Abstract Theory ◽  
Neumann Operator ◽  
Wentzell Boundary Conditions ◽  
Dirichlet To Neumann Operator

AbstractWe consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on the space $$\mathrm {C}(\partial M)$$ C ( ∂ M ) of continuous functions on the boundary $$\partial M$$ ∂ M of a compact manifold $$\overline{M}$$ M ¯ with boundary. We prove that it generates an analytic semigroup of angle $$\frac{\pi }{2}$$ π 2 , generalizing and improving a result of Escher with a new proof. Combined with the abstract theory of operators with Wentzell boundary conditions developed by Engel and the author, this yields that the corresponding strictly elliptic operator with Wentzell boundary conditions generates a compact and analytic semigroups of angle $$\frac{\pi }{2}$$ π 2 on the space $$\mathrm {C}(\overline{M})$$ C ( M ¯ ) .

Poincaré duality angles and the Dirichlet-to-Neumann operator

2013 ◽  
Vol 29 (4) ◽  
pp. 045007 ◽  
Author(s):  
Clayton Shonkwiler
Keyword(s):  
Poincaré Duality ◽  
Poincare Duality ◽  
Neumann Operator ◽  
Dirichlet To Neumann Operator

scholarly journals The Dirichlet-to-Neumann operator on rough domains

2011 ◽  
Vol 251 (8) ◽  
pp. 2100-2124 ◽  
Author(s):  
W. Arendt ◽  
A.F.M. ter Elst
Keyword(s):  
Neumann Operator ◽  
Dirichlet To Neumann Operator

The kernel of the $$\bar \partial $$ -Neumann operator on strictly pseudoconvex domains

1987 ◽  
Vol 278 (1-4) ◽  
pp. 151-173 ◽  
Author(s):  
Ingo Lieb ◽  
R. Michael Range
Keyword(s):  
Pseudoconvex Domains ◽  
Neumann Operator
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