Infinite time blow-up of solutions for a class of logarithmic wave equations with arbitrary high initial energy

DOI10.1007/S00245-021-09797-1zbMath1492.35038OpenAlexW3181184427MaRDI QIDQ832595

Hang Ding, Jun Zhou

Publication date: 25 March 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-021-09797-1

zbMATH Keywords

logarithmic Sobolev inequalitylogarithmic nonlinearityarbitrary high initial energyinfinite time blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• Asymptotic behavior for a class of logarithmic wave equations with linear damping
• Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation
• One-dimensional Klein–Gordon equation with logarithmic nonlinearities
• Logarithmic Sobolev Inequalities
• Initial boundary value problem for generalized logarithmic improved Boussinesq equation

Related Items (4)

Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity ⋮ Local and global existence of solutions to a time-fractional wave equation with an exponential growth ⋮ Unnamed Item

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