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Listar por autor "Schmalfuss, Björn"
Mostrando ítems 1-20 de 20
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Artículo
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn; Valero Cuadra, José (2010)In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations ...
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Artículo
Attractors for a random evolution equation with infinite memory: Theoretical results
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn; Valero Cuadra, José (American Institute of Mathematical Sciences, 2017-07)The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential ...
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Artículo
Existence of exponentially attracting stationary solutions for delay evolution equations
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn (2007)We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution ...
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Artículo
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2,1)
Duc, Luu Hoang; Garrido Atienza, María José; Neuenkirch, Andreas; Schmalfuss, Björn (Elsevier, 2018-01-15)This paper addresses the exponential stability of the trivial solution of some types of evolution equations driven by ...
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Artículo
Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
Caraballo Garrido, Tomás; Kloeden, Peter E.; Schmalfuss, Björn (2004)We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when ...
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Artículo
Global attractor for a non-autonomous integro-differential equation in materials with memory
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn; Valero Cuadra, José (2010)The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by ...
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Capítulo de Libro
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces
Garrido Atienza, María José; Lu, Kening; Schmalfuss, Björn (Springer, 2015)In this paper we investigate the existence and some useful properties of the Lévy areas of Ornstein-Uhlenbeck processes ...
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Artículo
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters H ∈ (1/3, 1/2]
Garrido Atienza, María José; Lu, Kening; Schmalfuss, Björn (American Institute of Mathematical Sciences, 2015-10)In this article we are concerned with the study of the existence and uniqueness of pathwise mild solutions to evolutions ...
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Artículo
Non-autonomous and random attractors for delay random semilinear equations without uniqueness
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn; Valero Cuadra, José (2008)We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and ...
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Artículo
On 3D Navier-Stokes equations: regularization and uniqueness by delays
Bessaih, Hakima; Garrido Atienza, María José; Schmalfuss, Björn (Elsevier, 2018)A modified version of the three dimensional Navier-Stokes equations is considered with periodic boundary conditions. A ...
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Artículo
On fractional Brownian motions and random dynamical systems
Garrido Atienza, María José; Schmalfuss, Björn (Sociedad Española de Matemática Aplicada, 2010-06)In this paper we consider a class of nonlinear stochastic partial differential equations (SPDEs) driven by a fractional Brownian motion with the Hurst parameter bigger than 1/2. We show that these SPDEs generate random dynamical systems.
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Artículo
Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients
Bessaih, Hakima; Garrido Atienza, María José; Schmalfuss, Björn (American Institute of Mathematical Sciences, 2014-10)In this paper we study the long-time dynamics of mild solutions to retarded stochastic evolution systems driven by a ...
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Artículo
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than 1/2 and random dynamical systems
Chen, Yong; Gao, Hongjun; Garrido Atienza, María José; Schmalfuss, Björn (American Institute of Mathematical Sciences, 2014-01)This article is devoted to the existence and uniqueness of pathwise solutions to stochastic evolution equations, driven ...
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Artículo
Random attractors for stochastic evolution equations driven by fractional brownian motion
Gao, Hongjun; Garrido Atienza, María José; Schmalfuss, Björn (Society for Industrial and Applied Mathematics, 2014)The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven ...
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Artículo
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
Caraballo Garrido, Tomás; Xiaoying, Han; Schmalfuss, Björn; Valero Cuadra, José (2016)In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest ...
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Artículo
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters H∈(1/3,1/2]
Garrido Atienza, María José; Lu, Kening; Schmalfuss, Björn (Society for Industrial and Applied Mathematics, 2016)We consider the stochastic evolution equation du = Audt + G(u)dω, u(0) = u0 in a separable Hilbert space V . Here G is ...
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Ponencia
Sobre la existencia de atractores para ecuaciones aleatorias de reacción-difusión con retardos
Caraballo Garrido, Tomás; Garrido Atienza, María José; Schmalfuss, Björn; Valero Cuadra, José (2007-09)En primer lugar probamos la existencia y unicidad de atractor para sistemas dinámicos multivaluados abstractos, tanto en ...
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Artículo
Stabilization of Stationary Solutions of Evolution Equations by Noise
Caraballo Garrido, Tomás; Kloeden, Peter E.; Schmalfuss, Björn (2006)We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic ...
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Artículo
Stochastic lattice dynamical systems with fractional noise
Bessaih, Hakima; Garrido Atienza, María José; Han, Xiaoying; Schmalfuss, Björn (Society for Industrial and Applied Mathematics, 2017)This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ ...
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Artículo
Stochastic shell models driven by a multiplicative fractional Brownian-motion
Bessaih, Hakima; Garrido Atienza, María José; Schmalfuss, Björn (Elsevier, 2016-04-15)We prove existence and uniqueness of the solution of a stochastic shell--model. The equation is driven by an infinite ...