Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions

DOI10.1007/s00028-020-00656-0zbMath1470.35070OpenAlexW3118310180WikidataQ115609423 ScholiaQ115609423MaRDI QIDQ2044653

Yarong Liu, Yejuan Wang, Tomás Caraballo Garrido

Publication date: 10 August 2021

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

Full work available at URL: https://idus.us.es/handle//11441/116650

zbMATH Keywords

stochastic PDEstempered fractional Brownian motionfractional powers of closed operatorsexponential decay in mean square

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial functional-differential equations (35R10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise ⋮ Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise ⋮ Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise ⋮ New results for stochastic fractional pseudo-parabolic equations with delays driven by fractional Brownian motion

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