The Helmholtz-Hodge Decomposition in Lebesgue Spaces on Exterior Domains and Evolution Equations on the Whole Real Time Axis

The first topic of this thesis is the Helmholtz-Hodge decomposition of vector fields in Lebesgue spaces $L^p$ defined on three-dimensional exterior domains, i.e. a decomposition of vector fields into a gradient field, a harmonic vector field and a rotation field. Here, a full characterisation of the...

Full description

Bibliographic Details
Main Author: Seyfert, Anton
Format: Others
Language:en
Published: 2018
Online Access:https://tuprints.ulb.tu-darmstadt.de/7725/1/20180801SeyfertAnton.pdf
Seyfert, Anton <http://tuprints.ulb.tu-darmstadt.de/view/person/Seyfert=3AAnton=3A=3A.html> (2018): The Helmholtz-Hodge Decomposition in Lebesgue Spaces on Exterior Domains and Evolution Equations on the Whole Real Time Axis.Darmstadt, Technische Universität, [Ph.D. Thesis]