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The higher order fractional Calderón problem for linear local operators: uniqueness
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local
perturbation by a linear partial differential operator (PDO) of order smaller than the one of …
perturbation by a linear partial differential operator (PDO) of order smaller than the one of …
Fractional Calderón problems and Poincaré inequalities on unbounded domains
We generalize many recent uniqueness results on the fractional Calderón problem to cover
the cases of all domains with nonempty exterior. The highlight of our work is the …
the cases of all domains with nonempty exterior. The highlight of our work is the …
Unique continuation property and Poincar\'e inequality for higher order fractional Laplacians with applications in inverse problems
We prove a unique continuation property for the fractional Laplacian $(-\Delta)^ s $ when $
s\in (-n/2,\infty)\setminus\mathbb {Z} $. In addition, we study Poincar\'e-type inequalities for …
s\in (-n/2,\infty)\setminus\mathbb {Z} $. In addition, we study Poincar\'e-type inequalities for …
On corners scattering stably and stable shape determination by a single far-field pattern
In this paper, we establish two sharp quantitative results for the direct and inverse time-
harmonic acoustic wave scattering. The first one is concerned with the recovery of the …
harmonic acoustic wave scattering. The first one is concerned with the recovery of the …
An inverse problem for the fractional Schrödinger equation in a magnetic field
This paper shows global uniqueness in an inverse problem for a fractional magnetic
Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is …
Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is …
[HTML][HTML] Inverse problems for a fractional conductivity equation
This paper shows global uniqueness in two inverse problems for a fractional conductivity
equation: an unknown conductivity in a bounded domain is uniquely determined by …
equation: an unknown conductivity in a bounded domain is uniquely determined by …
Variational approach for the Stokes and Navier–Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds
The purpose of this paper is to show well-posedness results for Dirichlet problems for the
Stokes and Navier–Stokes systems with L^ ∞ L∞-variable coefficients in L^ 2 L 2-based …
Stokes and Navier–Stokes systems with L^ ∞ L∞-variable coefficients in L^ 2 L 2-based …
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
In the present work we propose and analyze a fully-coupled virtual element method of high
order for solving the two dimensional nonstationary Boussinesq system in terms of the …
order for solving the two dimensional nonstationary Boussinesq system in terms of the …
On the degree of ill-posedness of multi-dimensional magnetic particle imaging
Magnetic particle imaging is an imaging modality of relatively recent origin, and it exploits
the nonlinear magnetization response for reconstructing the concentration of nanoparticles …
the nonlinear magnetization response for reconstructing the concentration of nanoparticles …
Low-rank MDPs with Continuous Action Spaces
Abstract Low-Rank Markov Decision Processes (MDPs) have recently emerged as a
promising framework within the domain of reinforcement learning (RL), as they allow for …
promising framework within the domain of reinforcement learning (RL), as they allow for …