MATS348 Inverse Problems (4–9 cr)

Study level:
Advanced studies
Grading scale:
Pass - fail
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024

Description

Content

Introduction to the mathematical theory of inverse problems through the inverse conductivity problem of Calderón. Boundary value problems for elliptic equations, boundary measurements, exponentially growing solutions, uniqueness results for the Calderón problem.

Learning outcomes

After the course a student 

  • knows properties of inverse problems through the Calderón problem
  • can work with a mathematical model of boundary measurements
  • knows uniqueness results and understands methods for proving them

Description of prerequisites

Functional analysis

Study materials

Lecture notes

Completion methods

Method 1

Evaluation criteria:
Points from returned exercises, and a possible seminar presentation.
Select all marked parts
Parts of the completion methods
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Teaching (4–9 cr)

Type:
Participation in teaching
Grading scale:
Pass - fail
Evaluation criteria:
Points from returned exercises, and a possible seminar presentation.
Language:
English, Finnish
Study methods:

Lectures, returned exercises and a possible seminar presentation.

Study materials:

Lecture notes

Teaching