Zobrazeno 1 - 10
of 15 530
pro vyhledávání: '"Uhlmann, A."'
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Comment: 62 pages
Comment: 62 pages
Externí odkaz:
http://arxiv.org/abs/2411.09671
In this paper, we study the partial data inverse problem for nonlinear magnetic Schr\"odinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an arbitrary part of the boundary, determines the time-dependent linear c
Externí odkaz:
http://arxiv.org/abs/2411.06369
The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide for the first time the mathematical foundations of this transform.
Externí odkaz:
http://arxiv.org/abs/2410.17597
Autor:
Weiser, Paul, Langs, Georg, Bogner, Wolfgang, Motyka, Stanislav, Strasser, Bernhard, Golland, Polina, Singh, Nalini, Dietrich, Jorg, Uhlmann, Erik, Batchelor, Tracy, Cahill, Daniel, Hoffmann, Malte, Klauser, Antoine, Andronesi, Ovidiu C.
Introduction: Altered neurometabolism is an important pathological mechanism in many neurological diseases and brain cancer, which can be mapped non-invasively by Magnetic Resonance Spectroscopic Imaging (MRSI). Advanced MRSI using non-cartesian comp
Externí odkaz:
http://arxiv.org/abs/2409.18303
Autor:
Uhlmann, Gunther, Zhai, Jian
We prove that the Riemannian metric on a compact manifold of dimension $n\geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Dirichlet-to-Neumann map associated to the Laplace-Beltrami operator.
Externí odkaz:
http://arxiv.org/abs/2409.01583
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover
Externí odkaz:
http://arxiv.org/abs/2408.12759
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this paper is to introduce the notion of a generalised Brillouin zone by allow
Externí odkaz:
http://arxiv.org/abs/2408.05073
We study an analog of the anisotropic Calder\'on problem for fractional Schr\"odinger operators $(-\Delta_g)^\alpha + V$ with $\alpha \in (0,1)$ on closed Riemannian manifolds of dimensions two and higher. We prove that the knowledge of a Cauchy data
Externí odkaz:
http://arxiv.org/abs/2407.16866
Autor:
Doskoch, Graham M., Basuroski, Andrea, Halley, Kriisa, Sookram, Avinash, Rodriguez-Ramos, Iliomar, Nahata, Valmik, Rahman, Zahi, Zhang, Maureen, Uhlmann, Ashish, Lynch, Abby, Lewandowska, Natalia, Miranda, Nohely, Schmiedekamp, Ann, Schmiedekamp, Carl, McLaughlin, Maura A., Reichart, Daniel E., Haislip, Joshua B., Kouprianov, Vladimir V., White, Steve, Ghigo, Frank, Heatherly, Sue Ann
A small number of pulsars are known to emit giant pulses, single pulses much brighter than average. Among these is PSR J0534+2200, also known as the Crab pulsar, a young pulsar with high giant pulse rates. Long-term monitoring of the Crab pulsar pres
Externí odkaz:
http://arxiv.org/abs/2407.15996
We study partial data inverse problems for linear and nonlinear parabolic equations with unknown time-dependent coefficients. In particular, we prove uniqueness results for partial data inverse problems for semilinear reaction-diffusion equations whe
Externí odkaz:
http://arxiv.org/abs/2406.01387