Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness

DOI10.1063/1.5063840zbMath1418.35233OpenAlexW2963340168WikidataQ127443883 ScholiaQ127443883MaRDI QIDQ5228071

Bixiang Wang, Xiaohu Wang, Dingshi Li

Publication date: 8 August 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5063840

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Boundary value problems for nonlinear higher-order PDEs (35G30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

Dynamical stability of random delayed FitzHugh–Nagumo lattice systems driven by nonlinear Wong–Zakai noise ⋮ Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise ⋮ Pullback random attractors for fractional stochastic \(p\)-Laplacian equation with delay and multiplicative noise ⋮ Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations with colored noise and delay on \(\mathbb{R}^n\) ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations with delay on \(\mathbb{R}^n\) ⋮ Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems ⋮ Upper semi-continuity of non-autonomous fractional stochastic \(p\)-Laplacian equation driven by additive noise on \(\mathbb{R}^n\)

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