Work

Decay estimate and blow-up for fractional Kirchhoff wave equations involving a logarithmic source

Year: 2025

Type: article

Abstract: This paper was dedicated to researching a class of fractional Kirchhoff wave models involving a logarithmic source and strong damping term. We have proven the local existence and uniqueness of weak solutions through combining contraction mapping theory with Faedo-Galerkin's method. Based on the framework of a potential well and under suitable conditions, an exponential decay estimate of global weak solutions was established. Finally, the result of the finite time blow-up was obtained.

Source: AIMS Mathematics

DOI: 10.3934/math.2025631

Authors: Aihui Sun, Hui Xu

Institutions: Jilin Normal University, BaiCheng Normal University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4411424751