Stability of solutions for some inverse problems
Year: 2012
Type: article
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 $partialOmega$, 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 $partial u/partialu$ on $partialOmega$ corresponding to some nontrivial solution.
Source: HAL
Author: Dalmasso, Robert
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4297484591