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 blow-up result. © 2024 The Authors

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-09-16
DOI
https://doi.org/10.1016/j.padiff.2024.100925
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions

Mustafa Polat, Begüm Çalışkan Desova
Partial Differential Equations in Applied Mathematics
Stability and Controllability of Differential Equations
article

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

Mustafa Polat, Begüm Çalışkan Desova
article en

Abstract

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. © 2024 The Authors

Partial Differential Equations in Applied MathematicsVol. 12
Openalex Percentile: Top 83%
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
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On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions — Mustafa Polat, Begüm Çalışkan Desova · Partial Differential Equations in Applied Mathematics (2024) | TGRS Research Map | TGRS