37 citations · 41 across the 8 of their papers we have counts for
7 papers · 1 filter
Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions
Hugo Carrllo, Alberto Mercado, Roberto Morales
In this article, we consider an inverse problem involving the simultaneous reconstruction of two real valued potentials for a Schrödinger equation with mixed boundary conditions: a…
Local null controllability of a cubic Ginzburg-Landau equation with dynamic boundary conditions
Nicolás Carreño, Alberto Mercado, Roberto Morales
This paper deals with controllability properties of a cubic Ginzburg-Landau equation with dynamic boundary conditions. More precisely, we prove a local null controllability result…
An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound
Rogelio Arancibia, Rodrigo Lecaros, Alberto Mercado +1
In this article we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation, from knowledge of the trace of the solution on…
Uniform null controllability of a fourth-order parabolic equation with a transport term
Lopez-García Marcos, Mercado Alberto
In this paper we prove a uniform controllability result for a fourth order parabolic partial differential equation which includes a transport term, when the coefficients of higher…
Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation
Lucie Baudouin, Eduardo Cerpa, Emmanuelle Crépeau +1
This paper presents an inverse problem for the nonlinear 1-d Kuramoto-Sivashinsky (K-S) equation. More precisely, we study the nonlinear inverse problem of retrieving the anti-diff…
An inverse problem for Schrödinger equations with discontinuous main coefficient
Lucie Baudouin, Alberto Mercado
This paper concerns the inverse problem of retrieving a stationary potential for the Schrödinger evolution equation in a bounded domain of RN with Dirichlet data and discontinuous…