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

Opinnon taso:
Jatko-opinnot
Arviointiasteikko:
Hyväksytty - hylätty
Suorituskieli:
englanti
Vastuuorganisaatio:
Matemaattis-luonnontieteellinen tiedekunta
Opetussuunnitelmakaudet:
2022-2023, 2023-2024

Kuvaus

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.

Osaamistavoitteet

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.

Esitietojen kuvaus

Familiarity with partial differential equations and functional analysis.

Suoritustavat

Tapa 1

Kuvaus:
Mandatory class attendance and assignments.
Arviointiperusteet:
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.
Valitaan kaikki merkityt osat
Suoritustapojen osat
x

Osallistuminen opetukseen (2 op)

Tyyppi:
Osallistuminen opetukseen
Arviointiasteikko:
Hyväksytty - hylätty
Arviointiperusteet:
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.
Suorituskieli:
englanti
Työskentelytavat:

Lectures and exercises. Mandatory class attendance and assignments.

Ei julkaistua opetusta