The search result changed since you submitted your search request. Documents might be displayed in a different sort order.
  • search hit 6 of 19
Back to Result List

On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms

  • We consider the identification of nonlinear diffusion coefficients of the form a(t,u) or a(u) in quasi-linear parabolic and elliptic equations. Uniqueness for this inverse problem is established under very general assumptions using partial knowledge of the Dirichlet-to-Neumann map. The proof of our main result relies on the construction of a series of appropriate Dirichlet data and test functions with a particular singular behavior at the boundary. This allows us to localize the analysis and to separate the principal part of the equation from the remaining terms. We therefore do not require specific knowledge of lower order terms or initial data which allows to apply our results to a variety of applications. This is illustrated by discussing some typical examples in detail.

Download full text files

Export metadata

Metadaten
Author:Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
Document Type:Preprint
Language:English
Date of Publication (online):2017/03/21
Date of first Publication:2017/11/20
Release Date:2017/11/20
Institutes:Technische Universität Darmstadt
Subprojects:C04