Singular limit problem of abstract second order evolution equations

DOI10.14492/hokmj/2021-504zbMath1528.34050arXiv1912.10181MaRDI QIDQ6172001

Motohiro Sobajima, Ryo Ikehata

Publication date: 18 July 2023

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

Full work available at URL: https://arxiv.org/abs/1912.10181

zbMATH Keywords

energy methodHilbert spacessingular limitsecond order evolution equationsinitial layer

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15)

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Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class, Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law

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