Continuity of the integral as a function of the domain

DOI10.1007/BF02922670zbMath0959.58008MaRDI QIDQ1568980

Jenny Harrison

Publication date: 22 June 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Banach spacesgeometric integration theory

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35) Currents in global analysis (58A25)

Related Items (10)

On a generalization of the Lebesgue's constant ⋮ The configuration space and principle of virtual power for rough bodies ⋮ Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms ⋮ Whitney edge elements and the Runge phenomenon ⋮ Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich ⋮ Cartan's magic formula and soap film structures ⋮ Topological aspects of differential chains ⋮ Operator calculus of differential chains and differential forms ⋮ Isomorphisms of differential forms and cochains ⋮ Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gauss-Green theorem for fractal boundaries
• Geometric Hodge star operator with applications to the theorems of Gauss and Green
• Mass Continuous Cochains are Differential Forms
• Algebraic Topology and Integration Theory

This page was built for publication: Continuity of the integral as a function of the domain