Zobrazeno 1 - 10
of 2 656
pro vyhledávání: '"P, Oksanen"'
We propose a theory for neutrino oscillations, in which the flavour neutrinos are treated as waves of massless particles propagating in a "refractive quantum vacuum" and obeying a relativistically covariant equation of motion. The difference in stren
Externí odkaz:
http://arxiv.org/abs/2411.14348
The fixed angle inverse scattering problem for a velocity consists in determining a sound speed, or a Riemannian metric up to diffeomorphism, from measurements obtained by probing the medium with a single plane wave. This is a formally determined inv
Externí odkaz:
http://arxiv.org/abs/2410.06864
We study the Lorentzian Calder\'on problem, where the objective is to determine a globally hyperbolic Lorentzian metric up to a boundary fixing diffeomorphism from boundary measurements given by the hyperbolic Dirichlet-to-Neumann map. This problem i
Externí odkaz:
http://arxiv.org/abs/2409.18604
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipshitz stability for the recovery of small potentials.
Externí odkaz:
http://arxiv.org/abs/2407.01922
We develop a linearized boundary control method for the inverse boundary value problem of determining a density in the acoustic wave equation. The objective is to reconstruct an unknown perturbation in a known background density from the linearized N
Externí odkaz:
http://arxiv.org/abs/2405.14989
In this paper, we consider the unique continuation problem for the Schr\"odinger equations. We prove a H\"older type conditional stability estimate and build up a parameterized stabilized finite element scheme adaptive to the \textit{a priori} knowle
Externí odkaz:
http://arxiv.org/abs/2403.16914
We consider finite element approximations of unique continuation problems subject to elliptic equations in the case where the normal derivative of the exact solution is known to reside in some finite dimensional space. To give quantitative error esti
Externí odkaz:
http://arxiv.org/abs/2402.13695
Recent developments in thin-film fabrication and processing open up interesting possibilities for both established and emerging optics technologies. There, one of the key questions requiring more complete understanding is by how much one can improve
Externí odkaz:
http://arxiv.org/abs/2401.05108
We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is defined including both convergence with respect to mesh parameter and perturbations in data. The ra
Externí odkaz:
http://arxiv.org/abs/2311.07440
Autor:
Nursultanov, Medet, Oksanen, Lauri
There are two main approaches to solve inverse coefficient determination problems for wave equations: the Boundary Control method and an approach based on geometric optics. These notes focus on the Boundary Control method, but we will have a brief lo
Externí odkaz:
http://arxiv.org/abs/2311.06020