Improved growth estimate of infinite time blowup solution for a semilinear hyperbolic equation with logarithmic nonlinearity

DOI10.1016/J.AML.2023.108670zbMath1518.35145OpenAlexW4362640357MaRDI QIDQ6112042

Jiangbo Han, Unnamed Author, Run-Zhang Xu

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108670

zbMATH Keywords

semilinear wave equationpotential wellgrowth estimatelogarithmic nonlinearityinfinite time blow-up

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity

Cites Work

• Global well-posedness of logarithmic Keller-Segel type systems
• Double diffusion structure of logarithmically damped wave equations with a small parameter
• Stochastic heat equations with logarithmic nonlinearity
• A two-dimensional Keller-Segel-Navier-Stokes system with logarithmic sensitivity: generalized solutions and classical solutions
• Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
• Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
• Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
• Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity
• One-dimensional Klein–Gordon equation with logarithmic nonlinearities
• Équations d'évolution avec non linéarité logarithmique
• Gaussons: Solitons of the Logarithmic Schrödinger Equation

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