An inverse problem originating from magnetohydrodynamics, III. Domains with corners of arbitrary angles

Elena Beretta, Michael Vogelius

Research output: Contribution to journalArticle

Abstract

We seek to identify the non-linearity of the semilinear elliptic equation, ▵u=−f(u) ≤ 0, from boundary measurements of the normal flux corresponding to homogeneous Dirichlet data. The possibility of such identification depends crucially on the shape of the domain. In this paper we prove that identification of an analytic function f is (generically) possible if the domain has a proper corner. This result significantly extends an earlier result obtained in [2], by almost entirely eliminating the restrictions imposed on the size of the angle of the corner.

Original languageEnglish (US)
Pages (from-to)289-315
Number of pages27
JournalAsymptotic Analysis
Volume11
Issue number3
DOIs
StatePublished - Jan 1 1995

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Inverse Problem
Angle
Semilinear Elliptic Equations
Arbitrary
Dirichlet
Analytic function
Nonlinearity
Restriction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

An inverse problem originating from magnetohydrodynamics, III. Domains with corners of arbitrary angles. / Beretta, Elena; Vogelius, Michael.

In: Asymptotic Analysis, Vol. 11, No. 3, 01.01.1995, p. 289-315.

Research output: Contribution to journalArticle

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