On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions

Autor:	Begüm Çalışkan Desova, Mustafa Polat
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Maximal monotone operator theory Bi-hyperbolic quasi-linear equations Blow-up Dynamic boundary condition Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100925- (2024)
Druh dokumentu:	article
ISSN:	2666-8181
DOI:	10.1016/j.padiff.2024.100925
Popis:	This note aims to study the existence of the local solutions and derive a blow-up result for a quasi-linear bi-hyperbolic equation with dynamic boundary conditions. We use the maximal monotone operator theory to demonstrate the solution’s local well-posedness, and a concavity method to establish the blow-up result.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c9fd1558bf80471da7a9cdbce120c09e Zobrazit plný text záznamu View record in DOAJ