Semilinear effectively damped wave models with general relaxation function

DOI10.1016/j.na.2022.112959zbMath1491.35285OpenAlexW4280501479WikidataQ113868553 ScholiaQ113868553MaRDI QIDQ2145638

Halit Sevki Aslan, Michael Reissig

Publication date: 17 June 2022

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.2022.112959

zbMATH Keywords

global existencepower nonlinearityrelaxation functionnonlinear memorysemilinear damped wave equationssmall data solutionseffective dissipation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Decay character and the semilinear structurally damped \(\sigma\)-evolution equations

Cites Work

• Unnamed Item
• Unnamed Item
• Semi-linear wave equations with effective damping
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data
• Global well-posedness for effectively damped wave models with nonlinear memory
• Blow-up results for effectively damped wave models with nonlinear memory
• The influence of a nonlinear memory on the damped wave equation
• The Kato-Ponce Inequality
• Methods for Partial Differential Equations
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation, II

This page was built for publication: Semilinear effectively damped wave models with general relaxation function