Results 21 to 30 of about 1,954,108 (266)

Iterated Differential Forms III: Integral Calculus [PDF]

open access: yes, 2006
Basic elements of integral calculus over algebras of iterated differential forms, are presented. In particular, defining complexes for modules of integral forms are described and the corresponding berezinians and complexes of integral forms are computed.
Vinogradov, A. M., Vitagliano, L.
core   +1 more source

The premetric approach to electromagnetism in the 'waves are not vectors' debate

open access: yesAdvanced Electromagnetics, 2012
A plea for the introduction, in advanced electromagnetics courses, of some basic differential geometric notions:  covectors,  differential forms, Hodge operators.
A. Bossavit
doaj   +1 more source

Sobolev-Poincaré inequalities for differential forms and currents

open access: yesBruno Pini Mathematical Analysis Seminar, 2019
In this note we collect some results in R^n about (p,q) Poincaré and Sobolev inequalities for differential forms obtained in a joint research with Franchi and Pansu. In particular, we focus to the case p=1.
Annalisa Baldi
doaj   +1 more source

CURRENT ASPECTS IN THE DIFFERENTIAL DIAGNOSIS OF ANGIONEUROTIC EDEMA [PDF]

open access: yesTrakia Journal of Sciences, 2021
Angioedema is a disease characterized by various triggers and an increasing prevalence. The great Greek physician Hippocrates (377-460 BC), considered one of the most outstanding figures in the history of medicine and "Father of the Western Medicine ...
P. Ilkova, Z. Stoyneva, N. Dimitrova
doaj   +1 more source

Some Caccioppoli Estimates for Differential Forms

open access: yesJournal of Inequalities and Applications, 2009
We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A-harmonic equation d∗A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation divA(x,u,∇u)=B(x,u,∇u).
Zhenhua Cao   +3 more
doaj   +2 more sources

An Introduction to Space–Time Exterior Calculus

open access: yesMathematics, 2019
The basic concepts of exterior calculus for space−time multivectors are presented: Interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields.
Ivano Colombaro   +2 more
doaj   +1 more source

Co-Homology of Differential Forms and Feynman Diagrams

open access: yesUniverse, 2021
In the present review we provide an extensive analysis of the intertwinement between Feynman integrals and cohomology theories in light of recent developments.
Sergio Luigi Cacciatori   +2 more
doaj   +1 more source

Finite element differential forms on cubical meshes [PDF]

open access: yes, 2013
We develop a family of finite element spaces of differential forms defined on cubical meshes in any number of dimensions. The family contains elements of all polynomial degrees and all form degrees. In two dimensions, these include the serendipity finite
Arnold, Douglas N., Awanou, Gerard
core   +1 more source

Bourgain-Brezis’s duality argument for continuous primitives

open access: yesBruno Pini Mathematical Analysis Seminar
In this note we collect some results in ℝn about global Poincaré inequalities for differential forms obtained in a joint research with Pierre Pansu and presented by the authors in two seminars held in Bologna respectively in 2023 and 2024.
Annalisa Baldi, Bruno Franchi
doaj   +1 more source

Generalized completely integrable systems [PDF]

open access: yesTheoretical and Applied Mechanics
Dynamical systems more general than Hamiltonian systems are considered. The role of the Hamiltonian function is played by a 1-form (not necessarily closed) on a symplectic phase space.
Kozlov Velery V.
doaj   +1 more source

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