activity
20142024
most citedMonotonicity and enclosure methods for the p-Laplace equation

47 citations · 189 across the 12 of their papers we have counts for

collaborators

12 papers

eess.SP2024

Inverting the sound speed profile from multi-beam echo sounder data and historical measurements -- a simulation study

Yohann Gourret, Tommi Brander, Karl Thomas Hjelmervik

The ocean's opacity poses challenges for security, as new technology, e.g. underwater drones, offers new opportunities for illegal activities, such as smuggling and terrorism. A ne…

math.AP2023★ 5 cited

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…

math.AP2020

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…

math.FA2019★ 1 cited

Optimal recovery of a radiating source with multiple frequencies along one line

Tommi Brander, Joonas Ilmavirta, Petteri Piiroinen +1

We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is moti…

math.NA2019★ 2 cited

Boundary determination for hybrid imaging from a single measurement

Tommi Brander, Torbjørn Ringholm

We recover the conductivity at the boundary of a domain from a combination of interior and boundary data, with a single quite arbitrary measurement, in AET or CDII. The argumen…

math.PR2019

Expected characteristic in Tunnels & Trolls character creation, with generalizations

Tommi Brander

In the roleplaying game Tunnels & Trolls the characteristics of player characters are determined by rolling dice in the following manner: First, one rolls three dice and calculates…

astro-ph.GA2018★ 41 cited

Photometric Redshift Calibration Requirements for WFIRST Weak Lensing Cosmology: Predictions from CANDELS

Shoubaneh Hemmati, Peter Capak, Daniel Masters +7

In order for Wide-Field Infrared Survey Telescope (WFIRST) and other Stage IV dark energy experiments (e.g., Large Synoptic Survey Telescope; LSST, and Euclid) to infer cosmologica…

math.AP2017★ 47 cited

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…

math.AP2016★ 2 cited

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…

math.AP2015★ 24 cited

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…

math.AP2014★ 37 cited

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…

math.AP2014★ 30 cited

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…