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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Dynamical Systems
Volume 10 - 2024 | doi: 10.3389/fams.2024.1467441
This article is part of the Research Topic Approximation Methods and Analytical Modeling Using Partial Differential Equations View all 16 articles

Inverse problem for semilinear wave equation with strong damping

Provisionally accepted
Nataliya Protsakh Nataliya Protsakh *
  • Lviv Polytechnic National University, Lviv, Ukraine

The final, formatted version of the article will be published soon.

    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.

    Keywords: Semilinear wave equation, inverse coefficient problem, existence of solutions, Initial-boundary value problem, Strong damping

    Received: 19 Jul 2024; Accepted: 27 Aug 2024.

    Copyright: © 2024 Protsakh. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Nataliya Protsakh, Lviv Polytechnic National University, Lviv, Ukraine

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