On fractional order Kirchhoff hyperbolic equations with logarithmic terms

On fractional order Kirchhoff hyperbolic equations with logarithmic terms

Abstract In this paper, we explore fractional Kirchhoff-type hyperbolic equations containing logarithmic terms, { u t t + [ u ] s 2 γ − 2 ( − Δ ) s u + ( − Δ ) s u t = | u | b − 2 u ln | u | , in  Ω × R + , u ( ⋅ , 0 ) = u 0 , u t ( ⋅ , 0 ) = u 1 , in  Ω , u ( x , t ) = 0 , in  ( R N ∖ Ω ) × R 0 + ,...

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Bibliographic Details
Main Authors: Yichang Xu, Ning Pan
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Boundary Value Problems
Subjects:
Degenerate Kirchhoff type
Wave equations
Fractional Laplacian
Potential wells
Logarithmic
Online Access:https://doi.org/10.1186/s13661-025-02004-y

Internet

https://doi.org/10.1186/s13661-025-02004-y

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