Results 91 to 100 of about 73,015 (248)
When is the first eigenfunction for the clamped plate equation of fixed sign?
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
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
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
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
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
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
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]
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
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
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

