47 citations · 189 across the 12 of their papers we have counts for
7 papers · 1 filter
Inverse problems for a model of biofilm growth
Tommi Brander, Daniel Lesnic, Kai Cao
A bacterial biofilm is an aggregate of micro-organisms growing fixed onto a solid surface, rather than floating freely in a liquid. Biofilms play a major role in various practical…
Recovering a variable exponent
Tommi Brander, Jarkko Siltakoski
We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent -Laplace equation from the Dirichlet-to-Neumann map. The variable expo…
Monotonicity and enclosure methods for the p-Laplace equation
Tommi Brander, Bastian von Harrach, Manas Kar +1
We show that the convex hull of a monotone perturbation of a homogeneous background conductivity in the -conductivity equation is determined by knowledge of the nonlinear Dirich…
Calderón's problem for p-Laplace type equations
Tommi Brander
We investigate a generalization of Calderón's problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consi…
Superconductive and insulating inclusions for linear and non-linear conductivity equations
Tommi Brander, Joonas Ilmavirta, Manas Kar
We detect an inclusion with infinite conductivity from boundary measurements represented by the Dirichlet-to-Neumann map for the conductivity equation. We use both the enclosure me…
Enclosure method for the p-Laplace equation
Tommi Brander, Manas Kar, Mikko Salo
We study the enclosure method for the p-Calderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the p-Laplace equati…
Calderón problem for the p-Laplacian: First order derivative of conductivity on the boundary
Tommi Brander
We recover the gradient of a scalar conductivity defined on a smooth bounded open set in from the Dirichlet to Neumann map arising from the -Laplace equation. For…