Potential well method for a class of fourth order wave equations with Newtonian potential

DOI10.3934/DCDSS.2023147zbMATH Open1541.35304MaRDI QIDQ6546796

Ngo Tran Vu, Mirelson M. Freitas, Dao Bao Dung

Publication date: 30 May 2024

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

zbMATH Keywords

global existencepotential well methodnonlocal termblow-up in finite timefourth-order wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44)

Cites Work

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• Multiple solutions for critical Choquard-Kirchhoff type equations
• Groundstates for Choquard type equations with weighted potentials and Hardy-Littlewood-Sobolev lower critical exponent
• Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
• Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models
• Infinitely many non-radial solutions for a Choquard equation
• Global strong solution of fourth order nonlinear wave equation
• Global solutions and finite time blow up for damped semilinear wave equations
• On the critical Choquard-Kirchhoff problem on the Heisenberg group
• Solitary-Wave Interactions in Elastic Rods

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