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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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## Papers overview

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Highly Cited
2012
Highly Cited
2012
• 2012
• Corpus ID: 14071651
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
• 2012
• Corpus ID: 119615775
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
• 2009
• Corpus ID: 123770622
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
• 2009
• Corpus ID: 115158352
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
• 2009
• Corpus ID: 115162981
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
• SIAM J. Numer. Anal.
• 2007
• Corpus ID: 13818096
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
• 2004
• Corpus ID: 14180745
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
• 1998
• Corpus ID: 18653887
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
• Math. Comput.
• 1997
• Corpus ID: 7864149
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
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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