Publications
2004
Issue 35

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

35/2004

On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

John Andersson, Norayr Matevosyan and Hayk Mikayelyan

Abstract

In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball $Δ u = λ_{+} χ_{{u > 0}} - λ_{-} χ_{{u 0}}, λ_{\pm} > 0.$ We prove that the free boundary touches the fixed one in (uniformly) tangential fashion if the boundary data $f$ and its first and second derivatives vanish at the touch-point.

Contact the author per mail Download full preprint 607 KB

Received:: 11.06.04

Published:: 11.06.04

MSC Codes:: 35R35

Keywords:: free boundary problems, two-phase obstacle problem, contact points

Related publications

inJournal

2006 Repository Open Access

John Andersson, Norayr Matevosyan and Hayk Mikayelyan

On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

In: Arkiv för matematik, 44 (2006) 1, pp. 1-15

BibTex DOI: 10.1007/s11512-005-0005-2 ArXiv: math/0405562