Results 91 to 100 of about 73,015 (248)

When is the first eigenfunction for the clamped plate equation of fixed sign?

open access: yesElectronic Journal of Differential Equations, 2001
It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign.
Guido Sweers
doaj  

Breaking the Barriers of Molecular Dynamics With Deep‐Learning: Opportunities, Pitfalls, and How to Navigate Them

open access: yesWIREs Computational Molecular Science, Volume 16, Issue 1, January/February 2026.
The scientist is hiking towards the treasure of accurate and predictive simulations of relevant phenomena. Molecular Dynamics shows a path riddled with obstacles such as accuracy, speed or sampling issues. Deep‐learning offers a way around these obstacles, but runs into hurdles of its own.
Klara Bonneau   +15 more
wiley   +1 more source

An eigenvalue problem for the infinity-Laplacian

open access: yesElectronic Journal of Differential Equations, 2013
In this work, we study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction.
Tilak Bhattacharya, Leonardo Marazzi
doaj  

Hydroacoustic Observations of the 15 January 2022 Hunga Tonga‐Hunga Ha'apai Eruption: The Role of Bathymetry Along the Path

open access: yesJournal of Geophysical Research: Solid Earth, Volume 131, Issue 1, January 2026.
Abstract The 15 January 2022 submarine volcanic eruption of Hunga Tonga‐Hunga Ha'apai released immense energy throughout the ocean, solid Earth, and atmosphere. We analyze mid‐oceanic column acoustic pressure recordings from 24 freely drifting Mobile Earthquake Recorder in Marine Areas by Independent Divers sensors, and from 11 moored hydrophones in ...
Joel D. Simon   +8 more
wiley   +1 more source

A Novel Longitudinal Proteomic Aging Index Predicts Mortality, Multimorbidity, and Frailty in Older Adults

open access: yesAging Cell, Volume 25, Issue 1, January 2026.
We used proteomic data from three longitudinal visits in the ARIC study to construct a single longitudinal proteomic aging index (LPAI) that captures both cumulative aging burden and dynamic aging trajectories. Higher LPAI was associated with increased risks of mortality, frailty, and multimorbidity.
Zexi Rao   +14 more
wiley   +1 more source

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

open access: yesMathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source

Boundary value problems for essentially-loaded parabolic equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov   +4 more
doaj   +1 more source

Eigenfunctions and nodal sets [PDF]

open access: yesSurveys in Differential Geometry, 2013
60 pages, 5 figures lifted from the web.
openaire   +2 more sources

Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation

open access: yesStudies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley   +1 more source

A theorem concerning Fourier transforms: A survey

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

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