Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, EarlyView.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source
Modelling the dynamically consistent numerical methods for COVID-19 disease with cost effectiveness strategies. [PDF]
Sci RepLi S +5 more
europepmc +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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An advanced multi-attribute decision-making model for Urban transportation planning based on complex intuitionistic fuzzy sets with hierarchical parameters. [PDF]
Sci RepAlballa T +4 more
europepmc +1 more source
The Naproche system: Proof-checking mathematical texts in controlled natural language
, 2016 Marcos Cramer
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Stability Analysis of a Nonautonomous Diffusive Predator-Prey Model with Disease in the Prey and Beddington-DeAngelis Functional Response. [PDF]
Biology (Basel)Zhang Y, Jiang T, Wang C, Shang Q.
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Energy Landscapes in Chemical Reactions and Transport
ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Kinetics/dynamics of chemical reactivity and transport of chemical species in a solid are both determined by the energy landscape in which they take place. Discussing common grounds but also distinct differences may help in advancing the understanding in both fields.
Karl‐Michael Weitzel
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Numerical computation of the stochastic hepatitis B model using feed forward neural network and real data. [PDF]
Sci RepKhan T, Jung IH.
europepmc +1 more source
The dialectical tier of mathematical proof
, 2011 Andrew Aberdein, Anton Colijn
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