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9 papers · 2 filters
Assessment of a Threshold Method for Computing Activation Maps from Reconstructed Transmembrane Voltages
Emma Lagracie, Lisl Weynans, Yves Coudière
Electrocardiographic imaging non-invasively reconstructs activation maps of the heart from temporal body surface potential maps by post-processing solutions of an inverse problem.…
Ground state solutions for Schrödinger-Poisson system with a doping profile
Mathieu Colin, Tatsuya Watanabe
This paper is devoted to the study of the nonlinear Schrödinger-Poisson system with a doping profile. We are interested in the existence of ground state solutions by considering th…
Well posedness of F. John's floating body problem for a fixed object
David Lannes, Mei Ming
The goal of this paper is to prove the well-posedness of F. John's floating body problem in the case of a fixed object and for unsteady waves, in horizontal dimension and wit…
A multiplicative inequality of Riesz transform type on general Riemannian manifolds
El Maati Ouhabaz
Given any complete Riemannian manifold , we prove that for every and every , $$ \| \nabla f \|_p^2 \le C_ε\| Δ^{\frac{1}{2} + ε} f \|_{p}\| Δ^{\frac{1}{2} -…
Commutator estimates and Poisson bounds for Dirichlet-to-Neumann operators
A. F. M. ter Elst, E. M. Ouhabaz
We consider the Dirichlet-to-Neumann operator associated with a general elliptic operator \[ {\cal A} u = - \sum_{k,l=1}^d \partial_k (c_{kl}\, \partial_l u) + \sum_{k=1…
On the Dynamics of Point Vortices with Positive Intensities collapsing with the boundary
Martin Donati, Ludovic Godard-Cadillac, Dragos Iftimie
In this paper, we study the point-vortex dynamics with positive intensities. We show that in the half-plane and in a disk, collapses of point vortices with the boundary in finite t…