Results 91 to 100 of about 2,027,139 (291)
Spectral Riesz-Cesaro means: How the square root function helps us to see around the world
Electronic Journal of Differential Equations, 2000 The heat-kernel expansion for a nonanalytic function of a differential operator, and the integrated (Cesà ro-smoothed) spectral densities associated with the corresponding nonanalytic function of the spectral parameter, exhibit a certain nonlocal ...
S. A. Fulling +2 more
doaj
Advances in Nonlinear AnalysisIn this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
doaj +1 more source
Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications
MathematicsIn this paper, we investigate the Besov space and the Besov capacity and obtain several important capacitary inequalities in a strictly local Dirichlet space, which satisfies the doubling condition and the weak Bakry–Émery condition.
Xiangyun Xie, Haihui Wang, Yu Liu
doaj +1 more source
Advanced Materials Interfaces, EarlyView.A pyrenylated donor–acceptor probe exhibits environment‐dependent fluorescence governed by intramolecular charge transfer, restricted molecular motion, and supramolecular organization. Nonlinear regression accurately reconstructs fluorescence responses to viscosity, temperature, concentration, and pH, while correlated parameter maps reveal hidden ...
Harshal V. Barkale +2 more
wiley +1 more source
Известия Иркутского государственного университета: Серия "Математика"In this paper, we examine the question about the approximation of the solution to a transport-diffusion equation in a half-space with the homogenous Neumann condition.
R. Gherdaoui +2 more
doaj +1 more source
Heat Kernel Embeddings, Differential Geometry and Graph Structure
Axioms, 2015 In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
doaj +1 more source
CoRRTopological neural networks have emerged as powerful successors of graph neural networks. However, they typically involve higher-order message passing, which incurs significant computational expense. We circumvent this issue with a novel topological framework that introduces a Laplacian operator on combinatorial complexes (CCs), enabling efficient ...
Maximilian Krahn, Vikas Garg 0001
openaire +3 more sources
Advanced Materials Technologies, EarlyView.A mask‐free and cost‐effective UV‐pico‐second laser‐based microfabrication method is proposed to fabricate large‐area biodegradable microelectrode arrays and pressure sensors. These devices demonstrate low impedance, good conformability, excellent biocompatibility, and rapid degradation, providing a new route for next‐generation transient electronics ...
Bhavani Prasad Yalagala +5 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.Dense tactile streams from across the humanoid body converge on collide in a central wiring and data bottleneck. By relocating computation closer to and then into the skin itself, near‐ and in‐sensor architectures, together with neuromorphic computing, chart a path toward perception‐native electronic skin, in which the conversion of stimulus into ...
Mijin Kim +6 more
wiley +1 more source
Evaluation of Trace Anomalies in 6 Space-Time Dimensions by Mathematica [PDF]
, 2004 Trace anomalies for a scalar and a Dirac field theoris in 6 space-time dimensions are evaluated by making use of our result for the third heat kernel coefficient presented in the previous paper.
瀬尾, 幸市 +2 more
core +1 more source