AUTHOR=Protsakh Nataliya 

TITLE=Inverse problem for semilinear wave equation with strong damping

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=Volume 10 - 2024

YEAR=2024

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1467441

DOI=10.3389/fams.2024.1467441

ISSN=2297-4687

ABSTRACT=The initial-boundary and the inverse coefficient problems for the semilinear hyperbolic equation
with the strong damping are considered in this article.
The conditions for the existence and uniqueness of solutions in Sobolev spaces
 for these problems have been obtained. The inverse problem determines the unknown
 time-dependent parameter in the right-hand side function of the equation
 with the use of the additional integral type overdetermination condition.