Some results on the global solvability for structurally damped models with special nonlinearity

DOI10.1007/S11253-019-01576-0zbMath1421.35197OpenAlexW2924094752WikidataQ128176830 ScholiaQ128176830MaRDI QIDQ2319568

Yanyan Li

Publication date: 19 August 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01576-0

zbMATH Keywords

exterior dampingviscoelastic type damping

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

On asymptotic properties of solutions to \(\sigma \)-evolution equations with general double damping ⋮ Semilinear mixed problems in exterior domains for \(\sigma \)-evolution equations with friction and coefficients depending on spatial variables ⋮ Influence of strong time-dependent oscillations in semilinear damped wave models

Cites Work

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• On the asymptotic behavior of solutions of semi-linear wave equations
• Ultracontractivity and Nash type inequalities
• Global existence for semi-linear structurally damped \(\sigma\)-evolution models
• Diffusion phenomenon in Hilbert spaces and applications
• On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
• L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
• The Kato-Ponce Inequality
• Semilinear structural damped waves
• The External Damping Cauchy Problems with General Powers of the Laplacian

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