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Poincaré–Steklov operator

Known as: Dirichlet to Neumann mapping, Poincare Steklov operator, Poincaré-Steklov operator 
In mathematics, a Poincaré–Steklov operator (after Henri Poincaré and Vladimir Steklov) maps the values of one boundary condition of the solution of… Expand
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Related topics

Related topics

3 relations

Broader (1)

Domain decomposition methods
List of numerical analysis topicsSchur complement method

Papers overview

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Highly Cited
2012
Highly Cited
2012
Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup
If $\Omega$ is any compact Lipschitz domain, possibly in a Riemannian manifold, with boundary $\Gamma = \partial \Omega$, the… Expand
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Highly Cited
2012
Highly Cited
2012
Sharp eigenvalue bounds and minimal surfaces in the ball
We prove existence and regularity of metrics on a surface with boundary which maximize $$\sigma _1 L$$σ1L where $$\sigma _1$$σ1… Expand
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2009
2009
A NEW PERTURBATION ALGORITHM WITH BETTER CONVERGENCE PROPERTIES: MULTIPLE SCALES LINDSTEDT POINCARE METHOD
A new perturbation algorithm combining the Method of Multiple Scales and Lindstedt-Poincare techniques is proposed for the first… Expand
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Highly Cited
2009
Highly Cited
2009
Extension Problem and Harnack's Inequality for Some Fractional Operators
The fractional Laplacian can be obtained as a Dirichlet-to-Neumann map via an extension problem to the upper half space. In this… Expand
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Highly Cited
2009
Highly Cited
2009
The first Steklov eigenvalue, conformal geometry, and minimal surfaces
We consider the relationship of the geometry of compact Riemannian manifolds with boundary to the first nonzero eigenvalue σ1 of… Expand
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Highly Cited
2007
Highly Cited
2007
Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
An error analysis is presented for the spectral-Galerkin method to the Helmholtz equation in 2- and 3-dimensional exterior… Expand
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2004
2004
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
We prove H\"older type stability estimates near generic simple Riemannian metrics for the inverse problem of recovering such… Expand
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1998
1998
On a characterization of the kernel of the Dirichlet-to-Neumann map for a planar region
We will show that the Dirichlet-to-Neumann map $\Lambda$ for the electrical conductivity equation on a simply connected plane… Expand
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1997
1997
Preconditioning the Poincaré-Steklov operator by using Green's function
This paper is concerned with the Poincare-Steklov operator that is widely used in domain decomposition methods. It is proved that… Expand
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Highly Cited
1995
Highly Cited
1995
Branes within branes
Superstring theory has a rich spectrum of solitonic states, and over the last years much has been learned about their important… Expand
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