Results 101 to 110 of about 24,018,000 (299)

Eigenvalue and gap estimates for the Laplacian acting on p-forms [PDF]

, 2004
We study the gap of the first eigenvalue of the Hodge Laplacian acting on p-differential forms of a manifold with boundary, for consecutive values of the degree p. We first show that the gap may assume any sign.
SAVO, Alessandro, Savo, A, P. Guerini, Guerini, P   +3 more
core   +1 more source

A Graph‐Based Generative Artificial Intelligence Methodology for Autocorrection of Utility‐System P&IDs

Chemie Ingenieur Technik, EarlyView.
This work explores generative AI for automated revision of Piping and Instrumentation Diagrams (P&IDs). We frame P&ID correction as a translation problem, converting attributed P&ID graphs into sequences and learning revisions with a transformer‐based model.
Lukas Schulze Balhorn, Dominik P. Goldstein, Niels Seijsener, Kevin Dao, Ge H. M. Driessen, Artur M. Schweidtmann   +5 more
wiley   +1 more source

A Rado type theorem for p-harmonic functions in the plane

Electronic Journal of Differential Equations, 1994
$p$-Laplace equation $$ { m div}(|abla u|^{p-2}abla u)=0 $$ in $Omegasetminus {x :u(x)=0}$, then $u$ is a solution to the $p$-Laplacian in the whole $Omegasubset R^2$.
Tero Kilpelainen
doaj  

Global Solution and Asymptotic Behaviour for a Wave Equation Type p-Laplacian with p-Laplacian Damping [PDF]

, 2020
In this work we study the global solution, uniqueness and asymptotic behaviour of the nonlinear equation utt − ∆pu − ∆put =|u|r−1u where ∆pu is the nonlinear p-Laplacian operator, 2 ≤ p  < ∞.
Celsa Maranhão, Pereira, Ducival, Carlos Raposo   +2 more
core  

Assessment of Gibbs Free Energy Calculation in PI‐Controlled Heating

Chemie Ingenieur Technik, EarlyView.
For description and control of chemical processes in lab or industry thermodynamic variable Gibbs free energy provides opportunity to compare and interpret phenomena, even on a quantitative level. In a case study for PI‐controlled heating, impacts on its limits from control delay until parameter quantization are highlighted and assessed.
Jannik Dutschke, Samira Johanna Geiger, Liane Andrea Haufe, Sebastian Kaiser, Markus Seifert   +4 more
wiley   +1 more source

Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization

Canadian Journal of Statistics, EarlyView.
Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
wiley   +1 more source

A Geometric Characterization of Steady Laminar Flow

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Prüfer transformation for the \(p\)-Laplacian

Electronic Journal of Differential Equations, 2010
Summary: Prüfer transformation is a useful tool for studying second-order ordinary differential equations. There are many possible extensions of the original Prüfer transformation. We focus on a transformation suitable for study of boundary value problems for the \(p\)-Laplacian in the resonant case.
Jiri Benedikt, Petr Girg
openaire   +2 more sources

Hypergraph p-Laplacians and Scale Spaces

Journal of Mathematical Imaging and Vision
AbstractThe aim of this paper is to revisit the definition of differential operators on hypergraphs, which are a natural extension of graphs in systems based on interactions beyond pairs. In particular, we focus on the definition of Laplacian and p-Laplace operators for oriented and unoriented hypergraphs, their basic properties, variational structure,
Fazeny, Ariane, Tenbrinck, Daniel, Lukin, Kseniaa, Burger, Martin   +3 more
openaire   +7 more sources

GRAPH p-LAPLACIAN EIGENPAIRS AS SADDLE POINTS OF A FAMILY OF SPECTRAL ENERGY FUNCTIONS

We address the problem of computing the graph p-Laplacian eigenpairs for p \in (2, \infty). We propose a reformulation of the graph p-Laplacian eigenvalue problem in terms of a constrained weighted Laplacian eigenvalue problem and discuss theoretical and
Deidda P., Putti M., Segala N.
core   +1 more source