Results 51 to 60 of about 430 (144)
Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
wiley +1 more source
Localization of eigenfunctions in the Dirichlet beaker [PDF]
We construct the asymptotics of the eigenpairs of the Dirichlet problem for the Laplace operator in a thin-walled beaker and prove the localization effect for the functions near the bottom edge, a smooth closed contour, of the beaker. The main asymptotic
Cardone G., Nazarov S. A., Taskinen J.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Asymptotics eigenvalues for many-interval Sturm-Liouville Problems
, 2016 International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 21-23, 2016 -- Antalya, TURKEYWOS: 000376001000088In this work we consider a Sturm-liouville equation on finite number disjoint intervals together with transmission ...
Aydemir, Kadriye +3 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations
Geophysical Research Letters, Volume 53, Issue 10, 28 May 2026.Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal +7 more
wiley +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, Volume 13, Issue 28, 18 May 2026.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Dirichlet eigenvalues of cones in the small aperture limit
, 2013 We are interested in finite cones of fixed height 1 parametrized by their opening angle. We study the eigenpairs of the Dirichlet Laplacian in such domains when their apertures tend to 0.
Thomas Ourmieres-Bonafos +1 more
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Sharp behavior of Dirichlet--Laplacian eigenvalues for a class of singularly perturbed problems [PDF]
, 2023 We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable and we quantitatively investigate the rate of convergence of the perturbed ...
Ognibene, Roberto, Abatangelo, Laura
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