Global existence and blow up of solution of wave nonlinear equation with boundary fractional damping and logarithmic source terms

DOI10.3934/dcdss.2024082zbMATH Open1548.3518MaRDI QIDQ6612852

Rafik Guefaifia, Nadia Mezouar, Salah Mahmoud Boulaaras, Rashid Jan

Publication date: 1 October 2024

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

blow-upglobal existencenonlinear equationsfractional boundary dissipationmathematical operatorslogarithmic wave system

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Higher-order quasilinear hyperbolic equations (35L77)

Cites Work

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• Exponential growth for wave equation with fractional boundary dissipation and boundary source term
• Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Existence and nonexistence of global solutions of some system of semilinear wave equations
• Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping
• Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction
• Blow-up for a stochastic viscoelastic Lamé equation with logarithmic nonlinearity
• General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
• Dynamical behaviour and chaotic phenomena of HIV infection through fractional calculus
• On nonlinear wave equations with degenerate damping and source terms
• General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
• Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay
• Qualitative study on solutions of piecewise nonlocal implicit fractional differential equations
• Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation
• Fractional-calculus analysis of human immunodeficiency virus and CD4⁺ T-cells with control interventions
• On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation
• Well-posedness and exponential stability for the logarithmic Lamé system with a time delay

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