We seek to identify the non-linearity of the semilinear elliptic equation, Delta u = -f(u) less than or equal to 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.

An Inverse Problem originating from Magnetohydrodynamics III. Domains with corners of arbitrary angles

BERETTA, ELENA;
1995-01-01

Abstract

We seek to identify the non-linearity of the semilinear elliptic equation, Delta u = -f(u) less than or equal to 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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/888776
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 9
social impact