@article{Desova2024, 
author = {Begüm Çalışkan Desova and Mustafa Polat},
title = {Existence, uniqueness, and blow-up analysis of a quasi-linear bi-hyperbolic equation with dynamic boundary conditions},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {3363-3376},
keywords = {wave equation, local existence, blow-up, contraction mapping principle},
url = {https://www.sciopen.com/article/10.3934/era.2024155},
doi = {10.3934/era.2024155},
abstract = {For this study, we investigate the existence and uniqueness of local solutions and derive a blow-up solution for a quasi-linear bi-hyperbolic equation under dynamic boundary conditions. We utilize the contraction mapping concept to demonstrate the solution's local well-posedness and employ a concavity approach to establish the blow-up result.}
}