# MATJ5110 MA1: The Boundary Control Method and Inverse Problems for the Wave Equation (JSS31) (2 cr)

Study level:
Pass - fail
Language:
English
Responsible organisation:
Faculty of Mathematics and Science
Curriculum periods:
2022-2023, 2023-2024

## Description

In an inverse boundary value problem the task is to reconstruct the coefficients of a partial differential operator from the Dirichlet and Neumann boundary data of all solutions. The simplest version of such an operator is a familiar operator like the Laplacian or the wave operator plus an unknown potential, and then the task is to uniquely determine the potential from the boundary data. This course focuses on the boundary control method introduced by Belishev for solving this inverse problem for perturbations of the wave equation with full or partial data.

## Learning outcomes

Students familiarize themselves with inverse boundary value problems, especially of the hyperbolic type. They also learn the fundamentals of the boundary control method and the role it plays in the study of such problems.

## Description of prerequisites

Familiarity with partial differential equations and functional analysis.

## Completion methods

### Method 1

Description:
Mandatory class attendance and assignments.
Evaluation criteria:
Pass/fail, based on exercises returned after the course. To pass the course at least 60% of the total points from the assignments must be achieved.
Select all marked parts
Parts of the completion methods
x

### Participation in teaching (2 cr)

Type:
Participation in teaching