The Boundary Control Method and Inverse Problems for the Wave Equation

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.

Course leader

Lauri Oksanen (University of Helsinki)

Target group

Prerequisites: Familiarity with partial differential equations and functional analysis.

Course aim

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.

Fee info

EUR 0: Participation in the Summer School courses is free of charge, but students are responsible for covering their own meals, accommodation and travel costs as well as possible visa costs.

Scholarships

Jyväskylä Summer School is not able to grant Summer School students financial support.