\( L^1 \) estimates for oscillating integrals and their applications to semi-linear models with \( \sigma \)-evolution like structural damping

DOI10.3934/dcds.2019222zbMath1418.35274arXiv1808.05484OpenAlexW2947638676MaRDI QIDQ2000217

Publication date: 28 June 2019

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

Full work available at URL: https://arxiv.org/abs/1808.05484

zbMATH Keywords

global existence \( \sigma \)-evolution like models Gevrey smoothing structural damped \( \sigma \)-evolution equations visco-elastic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11) Higher-order semilinear hyperbolic equations (35L76)

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