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

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

Compact and subelliptic estimates for the $${\overline{\partial}}$$ -Neumann operator on C2 pseudoconvex domains

2006 ◽  
Vol 337 (2) ◽  
pp. 335-352 ◽  
Author(s):  
Phillip S. Harrington
Keyword(s):  
Pseudoconvex Domains ◽  
Neumann Operator

Subelliptic estimates for the $\overline{\partial}$ -Neumann operator on piecewise smooth strictly pseudoconvex domains

1998 ◽  
Vol 93 (1) ◽  
pp. 115-128 ◽  
Author(s):  
Joachim Michel ◽  
Mei-Chi Shaw
Keyword(s):  
Piecewise Smooth ◽  
Pseudoconvex Domains ◽  
Neumann Operator

The $\overline\partial$-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions

2001 ◽  
Vol 108 (3) ◽  
pp. 421-447 ◽  
Author(s):  
Joachim Michel ◽  
Mei-Chi Shaw
Keyword(s):  
Pseudoconvex Domains ◽  
Neumann Operator

Strictly pseudoconvex domains and smoothly varying peak functions

2019 ◽  
Vol 473 (2) ◽  
pp. 1073-1080 ◽  
Author(s):  
Arkadiusz Lewandowski
Keyword(s):  
Pseudoconvex Domains ◽  
Peak Functions

scholarly journals Bekollé-Bonami estimates on some pseudoconvex domains

2021 ◽  
pp. 102993
Author(s):  
Zhenghui Huo ◽  
Nathan A. Wagner ◽  
Brett D. Wick
Keyword(s):  
Pseudoconvex Domains

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 ¯ ) .

Analytic dynamics in some pseudoconvex domains

1992 ◽  
Vol 19 (8) ◽  
pp. 717-730
Author(s):  
Paul Hriljac
Keyword(s):  
Pseudoconvex Domains

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
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