A Theory of Traces and the Divergence Theorem, 9783031866630
Paperback
New trace theory yields Gauss-Green formulas on arbitrary Borel sets.

A Theory of Traces and the Divergence Theorem

$158.49

  • Paperback

    174 pages

  • Release Date

    12 August 2025

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Summary

Traces Unleashed: A New Integral Approach to the Divergence Theorem

This book presents a novel perspective on traces, redefining them as linear continuous functionals within a function space. Central to this analysis are integrals linked to finitely additive measures, an area largely unexplored in existing literature.

This innovative approach leads to Gauss-Green formulas applicable on any Borel set, accommodating both vector fields with divergence measure and Sobolev and BV…

Book Details

ISBN-13:9783031866630
ISBN-10:3031866630
Series:Lecture Notes in Mathematics
Author:Friedemann Schuricht, Moritz Schönherr
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Paperback
Number of Pages:174
Release Date:12 August 2025
Weight:0g
Dimensions:235mm x 155mm
About The Author

Friedemann Schuricht

Friedemann Schuricht is Professor of Mathematics at TU Dresden, Germany. His main research interests are in nonlinear analysis and its applications. In particular, he has worked on problems in the calculus of variations, partial differential equations, nonsmooth analysis, geometric analysis, and related applications in continuum mechanics.

Moritz Schönherr studied mathematics and completed his doctorate at TU Dresden, Germany. He has worked on problems in partial differential equations, measure theory and the foundations of continuum mechanics. Currently he has a business position in Copenhagen, Denmark.

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