scientific article; zbMATH DE number 7612982

zbMath1501.35088MaRDI QIDQ5045800

Shaohua Chen, Chao Yang, Run-Zhang Xu

Publication date: 7 November 2022

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2022/70/abstr.html#latest

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zbMATH Keywords

finite time blowuparbitrary positive initial energyfourth-order wave equationstrain term

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Related Items (2)

Blowup phenomena for a fourth order wave equation at high initial energy level ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients

Cites Work

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• 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
• A class of fourth order wave equations with dissipative and nonlinear strain terms
• Long-time behavior of a class of thermoelastic plates with nonlinear strain
• On global solution of nonlinear hyperbolic equations
• A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
• Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level

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