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A Singular Critical Potential For The Schrödinger operator
We construct a potential $V$ on $\RR^d$, smooth away from one pole, and a sequence of quasi-modes for the operator $-\Delta+V$, which concentrate on this pole. No... -
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
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On weak$^*$-convergence in $H^1_L(\mathbb R^d)$
Let $L= -\Delta+ V$ be a Schrödinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse Hölder class... -
Upper bounds for eigenvalues of natural operators on compact Riemannian manif...
The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting on functions on a compact Riemannian manifold $(M,g)$ such as the... -
Inverse scattering problem for a special class of canonical systems and non-l...
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Itô diffusions, modified capacity and harmonic measure. Applications to Schrö...
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Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with h...
In this article we consider a closed Riemannian manifold (M,g) and A a subset of M. The purpose of this article is the comparison between the eigenvalues of a... -
Essential self-adjointness for combinatorial Schrödinger operators II- Metric...
Revisited version: Ognjen Milatovic wrote to us that he had discovered a gap in the proof of theorem 4.2 of our paper. As a consequence we propose to make an additional... -
Intertwining relations for one-dimensional diffusions and application to func...
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Spectral estimates on the sphere
In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lebsgue's... -
Semi-classical signal analysis
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Bilinear decompositions for the product space H1 X BMO and related problems
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Extremum Problems for Eigenvalues of Elliptic Operators
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Compactness properties for trace-class operators and applications to quantum ...
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The model magnetic Laplacian on wedges
The object of this paper is model Schrödinger operators with constant magnetic fields on infinite wedges with natural boundary conditions. Such model operators play an... -
On the low lying spectrum of the magnetic Schrödinger operator with kagome pe...
to appear in Reviews in Math. Phys. -
Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödin...
International audience
