Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
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Publication:5228880
DOI10.1080/00036811.2018.1460812zbMath1447.35077OpenAlexW2802319106MaRDI QIDQ5228880
Fenglong Sun, Li Shan Liu, Yong-Hong Wu
Publication date: 13 August 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2018.1460812
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
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The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity ⋮ Blow-up of solutions to the fourth-order equation with variable-exponent nonlinear weak damping ⋮ Blow-up and lifespan of solutions for a nonlinear viscoelastic Kirchhoff equation ⋮ Blow-up phenomena for a class of extensible beam equations ⋮ A class of viscoelastic wave equations with exponential source and the nonlinear strong damping ⋮ Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy ⋮ Local existence and global nonexistence of a solution for a love equation with infinite memory ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
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