Well-Posedness Analysis for an Inverse Coefficient Nonlinear Wave Equation

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Natural and Applied Sciences Journal
Cilt: 8 Sayı: 2
Well-Posedness Analysis for an Inverse Coefficient Nonlinear Wave Equation

Well-Posedness Analysis for an Inverse Coefficient Nonlinear Wave Equation

Authors : İrem Bağlan, Akbala Yernazar

Pages : 13-21

Doi:10.38061/idunas.1800322

View : 17 | Download : 71

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :The paper focuses on an inverse problem for a nonlinear hyperbolic equation with periodic boundary conditions and a time-dependent coefficient. By employing the Fourier method, both the solution and the coefficient function are determined, while the convergence of the iterative algorithm guarantees the uniqueness and stability of the solution.
Keywords : Devirli Sınır Koşulu, Ters Problem, Lineer olmayan hiperbolik denklem

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