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Highly Cited

2012

Highly Cited

2012

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

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 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

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

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

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

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

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

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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