Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 196, pp. 1-11.
Title: Stability of solutions for some inverse problems
Author: Robert Dalmasso (Nice, France)
Abstract:
In this article we establish three stability
results for some inverse problems.
More precisely we consider the following boundary value problem:
$\Delta u + \lambda u + \mu = 0$ in $\Omega$, $u = 0$ on $\partial\Omega$,
where $\lambda$ and $\mu$ are real constants and $\Omega \subset \mathbb R^2$ is
a smooth bounded simply-connected open set. The inverse problem consists in
the identification of $\lambda$ and $\mu$ from knowledge of the normal flux
$\partial u/\partial\nu$ on $\partial\Omega$ corresponding to some
nontrivial solution.
Submitted September 10, 2012. Published November 08, 2012.
Math Subject Classifications: 35J05, 35R30.
Key Words: Inverse problem; stability