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

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...

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Bibliographic Details
Published in:	Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters Vol. 12; p. 100925
Main Authors:	Desova, Begüm Çalışkan, Polat, Mustafa
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-12-2024 Elsevier
Subjects:	Bi-hyperbolic quasi-linear equations Blow-up Dynamic boundary condition Maximal monotone operator theory Maximal monotone operator theory Dynamic boundary condition Bi-hyperbolic quasi-linear equations Blow-up
Online Access:	Get full text
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Summary:	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.
ISSN:	2666-8181 2666-8181
DOI:	10.1016/j.padiff.2024.100925