Optimal decay estimates of a regularity-loss type system with constraint condition

DOI10.1016/J.JDE.2017.09.020zbMath1391.35063OpenAlexW2760806112MaRDI QIDQ1680446

Yoshihiro Ueda

Publication date: 16 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.09.020

zbMATH Keywords

asymptotic stabilityasymptotic profileenergy method in Fourier spaceregularity-loss structurewave-heat coupled system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (11)

Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications ⋮ Decay estimate of the viscoelastic plate with type II heat conduction in the whole space ⋮ Well-posedness and dynamical properties for extensible beams with nonlocal frictional damping and polynomial nonlinearity ⋮ Lack of the strict dissipativity and modification for the dissipative Bresse system ⋮ Memory Effects on the Stability of Viscoelastic Timoshenko Systems in the Whole 1<i>D</i>-Space ⋮ The optimal time‐decay estimate of solutions to two‐fluid Euler‐Maxwell equations in the critical Besov space ⋮ Decay structures for the equations of porous elasticity in one-dimensional whole space ⋮ Decay estimate and asymptotic profile for a plate equation with memory ⋮ Dynamics of solutions to a semilinear plate equation with memory ⋮ New stability criterion for the dissipative linear system and analysis of Bresse system ⋮ Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation

Cites Work

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