Global existence of small data solutions for wave models with sub-exponential propagation speed

DOI10.1016/j.na.2015.09.003zbMath1331.35236OpenAlexW4235890961MaRDI QIDQ893307

Michael Reissig, Tang Bao Ngoc Bui

Publication date: 13 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.09.003

zbMATH Keywords

power nonlinearitydecay behaviorMatsumura type estimatestime-dependent dissipationtime-dependent speed of propagation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

\(L^p-L^q\) estimates for wave equations with strong time-dependent oscillations ⋮ Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity ⋮ Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation. ⋮ Influence of strong time-dependent oscillations in semilinear damped wave models ⋮ Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators ⋮ Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime ⋮ Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients ⋮ Global existence of small data solutions for wave models with super-exponential propagation speed

Cites Work

• Semi-linear wave equations with effective damping
• Critical exponent for the semilinear wave equation with time-dependent damping
• Global existence of small data solutions for wave models with super-exponential propagation speed
• The Interplay Between Time-dependent Speed of Propagation and Dissipation in Wave Models

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