On boundary exact controllability of one-dimensional wave equations with weak and strong interior degeneration

Kogut PI, Kupenko OP, Leugering G (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Mathematical Methods in the Applied Sciences Wiley

DOI: 10.1002/mma.7811

Abstract

In this paper, we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic operator. The objective is to provide a well-posedness analysis of the corresponding system and derive conditions for its controllability through boundary actions. Passing to a relaxed version of the original problem, we discuss existence and uniqueness of solutions, and using the HUM method we derive conditions on the rate of degeneracy for both exact boundary controllability and the lack thereof.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара UA Ukraine (UA) Dnipro Polytechnic National Technical University / Національний технічний університет UA Ukraine (UA)

How to cite

APA:

Kogut, P.I., Kupenko, O.P., & Leugering, G. (2021). On boundary exact controllability of one-dimensional wave equations with weak and strong interior degeneration. Mathematical Methods in the Applied Sciences. https://dx.doi.org/10.1002/mma.7811

MLA:

Kogut, Peter I., Olga P. Kupenko, and Günter Leugering. "On boundary exact controllability of one-dimensional wave equations with weak and strong interior degeneration." Mathematical Methods in the Applied Sciences (2021).

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