Asymptotic Almost Periodicity of Stochastic Evolution Equations
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0604-2
Abstract: In this paper, we establish a new existence theorem for asymptotically almost periodic mild solutions to a class of semilinear stochastic evolution equations. As one would expect, our result would generalize and improve some related… read more here.
Keywords: almost periodicity; asymptotic almost; evolution equations; periodicity stochastic ... See more keywords
Stochastic evolution equations with Volterra noise
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DOI: 10.1016/j.spa.2016.07.003
Abstract: Volterra processes are continuous stochastic processes whose covariance function can be written in the form R(s,t)=∫0s∧tK(s,r)K(t,r)dr, where K is a suitable square integrable kernel. Examples of such processes are the fractional Brownian motion, multifractional Brownian… read more here.
Keywords: volterra processes; evolution equations; equations volterra; volterra ... See more keywords
Pathwise unstable invariant manifolds reduction for stochastic evolution equations driven by nonlinear noise
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DOI: 10.1063/5.0101516
Abstract: This paper is concerned with the pathwise dynamics of the stochastic evolution equation: du + Audt = F(u)dt + G(u)dW(t) on a separable Hilbert space H with the Lipschitz continuous drift term F(u) as well… read more here.
Keywords: stochastic evolution; term; reduction; pathwise unstable ... See more keywords
Existence and approximate controllability of second-order stochastic evolution equations with infinite delay
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DOI: 10.1080/00036811.2025.2523426
Abstract: This paper deals with the existence and approximate controllability for a class of second-order nonlinear stochastic evolution equations with infinite delay in Hilbert spaces. The existence and uniqueness of mild solution are proved using the… read more here.
Keywords: existence approximate; controllability; stochastic evolution; approximate controllability ... See more keywords
Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2019.1645231
Abstract: ABSTRACT In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter in a Hilbert space. By using the stochastic analysis of fractional… read more here.
Keywords: evolution equations; neutral stochastic; equations driven; stochastic evolution ... See more keywords
Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities
Sign Up to like & getrecommendations! Published in 2019 at "IMA Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz009
Abstract: In this article we propose a new, explicit and easily implementable numerical method for approximating a class of semilinear stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. We establish strong convergence rates for this approximation… read more here.
Keywords: evolution equations; equations non; stochastic evolution; strong convergence ... See more keywords
Stochastic evolution of scalar fields with continuous symmetries during inflation
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DOI: 10.1103/physrevd.102.023526
Abstract: During inflation, scalar fields with masses less than the Hubble scale acquire vacuum expectation values (vevs) via stochastic processes driven by quantum fluctuations. For nearly massless spectator scalars transforming nontrivially under a continuous symmetry group,… read more here.
Keywords: scalar fields; inflation; evolution scalar; fields continuous ... See more keywords
Well-posedness of stochastic evolution equations with Hölder continuous noise
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DOI: 10.1214/25-ejp1446
Abstract: We show existence and pathwise uniqueness of probabilistically strong solutions to a pseudomonotone stochastic evolution problem on a bounded domain $D\subseteq\mathbb{R}^d$, $d\in\mathbb{N}$, with homogeneous Dirichlet boundary conditions and random initial data $u_0\in L^2(\Omega;L^2(D))$. The main… read more here.
Keywords: well posedness; equations lder; stochastic evolution; evolution equations ... See more keywords
Approximate controllability of fractional stochastic evolution equations with nonlocal conditions
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2019-0229
Abstract: Abstract This paper deals with the approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. We delete the compactness condition or Lipschitz condition for nonlocal term… read more here.
Keywords: evolution equations; fractional stochastic; approximate controllability; equations nonlocal ... See more keywords