Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: decay-error estimates

DOI10.1016/j.jde.2012.02.019zbMath1298.35010arXiv1108.3758OpenAlexW2182231291MaRDI QIDQ424435

Massimo Gobbino, Marina Ghisi

Publication date: 1 June 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3758

zbMATH Keywords

correctorsKirchhoff-type equationdecay-error estimateshyperbolic-parabolic singular perturbation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Applications of operator theory to differential and integral equations (47N20) Degenerate hyperbolic equations (35L80)

Related Items (6)

Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Unnamed Item ⋮ An attractor for the singularly perturbed Kirchhoff equation with supercritical nonlinearity ⋮ Existence and exponential decay of the Dirichlet problem for a nonlinear wave equation with the Balakrishnan-Taylor term ⋮ On the Parabolic Regime of a Hyperbolic Equation with Weak Dissipation: The Coercive Case ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations with weak dissipation
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates
• Hyperbolic--parabolic singular perturbation for mildly degenerate Kirchhoff equations: Global-in-time error estimates
• Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay
• Decay properties of solutions to degenerate wave equations with dissipative terms
• Hyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation
• Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type
• Global-in-time uniform convergence for linear hyperbolic-parabolic singular perturbations
• Slow and fast decay of solutions to some second order evolution equations
• Asymptotic Limits for Mildly Degenerate Kirchhoff Equations
• Hyperbolic-parabolic singular perturbation for Kirchhoff equations with weak dissipation
• Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation
• An Optimal Estimate for the Time Singular Limit of an Abstract Wave Equation
• A class of explicitly resolvable evolution equations
• Hyperbolic-parabolic singular perturbations for scalar nonlinearities
• An evolution equation with non-local non-linearities: Existence, uniqueness and asymptotic behaviour
• SHARP DECAY ESTIMATES OF SOLUTIONS FOR MILDLY DEGENERATE DISSIPATIVE KIRCHHOFF EQUATIONS
• Time decay of solutions to degenerate Kirchhoff type equation
• Singular perturbation hyperbolic-parabolic for degenerate nonlinear equations of Kirchhoff type

This page was built for publication: Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: decay-error estimates