Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem

2010 ◽  
Vol 283 (4) ◽  
pp. 504-521 ◽  
Author(s):  
Angelo Favini ◽  
Gisèle Ruiz Goldstein ◽  
Jerome A. Goldstein ◽  
Enrico Obrecht ◽  
Silvia Romanelli
Keyword(s):  
Boundary Conditions ◽  
Elliptic Operators ◽  
Analytic Semigroups ◽  
Wentzell Boundary Conditions

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 ¯ ) .

General Wentzell Boundary Conditions and Analytic Semigroups onW1,p(0, 1)

2003 ◽  
Vol 82 (9) ◽  
pp. 927-935 ◽  
Author(s):  
Angelo Favini ◽  
Gisèle Ruiz Goldstein ◽  
Jerome A. Goldstein ◽  
Enrico Obrecht ◽  
Silvia Romanelli
Keyword(s):  
Boundary Conditions ◽  
Analytic Semigroups ◽  
Wentzell Boundary Conditions

Generalized Wentzell Boundary Conditions and Analytic Semigroups in C[0, 1]

2000 ◽  
pp. 125-130 ◽  
Author(s):  
Angelo Favini ◽  
Gisèle R. Goldstein ◽  
Jerome A. Goldstein ◽  
Silvia Romanelli
Keyword(s):  
Boundary Conditions ◽  
Analytic Semigroups ◽  
Wentzell Boundary Conditions

scholarly journals Nonsymmetric elliptic operators with Wentzell boundary conditions in general domains

2016 ◽  
Vol 15 (6) ◽  
pp. 2475-2487 ◽  
Author(s):  
Angelo Favini ◽  
Gisèle Ruiz Goldstein ◽  
Jerome Goldstein ◽  
Enrico Obrecht ◽  
Silvia Romanelli
Keyword(s):  
Boundary Conditions ◽  
Elliptic Operators ◽  
Wentzell Boundary Conditions
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