Exponential decay of solutions to a class of fourth-order nonlinear hyperbolic equations modeling the oscillations of suspension bridges

DOI10.7494/OPMATH.2022.42.2.239zbMath1484.35058OpenAlexW4214533730WikidataQ115477778 ScholiaQ115477778MaRDI QIDQ5862323

Yang Liu, Chao Yang

Publication date: 9 March 2022

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2022.42.2.239

zbMATH Keywords

weak solutionsexponential decayfamily of potential wellsfourth-order nonlinear hyperbolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Vibrations in dynamical problems in solid mechanics (74H45) Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

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