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Unstable manifolds for rough evolution equations (Q5885225)

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scientific article; zbMATH DE number 7671556

Language	Label	Description	Also known as
English	Unstable manifolds for rough evolution equations	scientific article; zbMATH DE number 7671556

Statements

scholarly article

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Unstable manifolds for rough evolution equations (English)

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Stochastics and Dynamics

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publication date

3 April 2023

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full work available at URL

https://arxiv.org/abs/2209.12217

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zbMATH Keywords

rough evolution equations

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random dynamical system

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unstable manifolds

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Lyapunov-Perron method

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MaRDI profile type

MaRDI publication profile

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Flows Driven by Banach Space-Valued Rough Paths

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Random dynamical systems, rough paths and rough flows

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A stochastic version of center manifold theory

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Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations

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Centre manifolds for stochastic evolution equations

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Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems

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Non-linear rough heat equations

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Invariant manifolds for stochastic partial differential equations.

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Smooth stable and unstable manifolds for stochastic evolutionary equations

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A course on rough paths. With an introduction to regularity structures

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Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion

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Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion

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Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion

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Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2]$

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Lévy–Areas of Ornstein–Uhlenbeck Processes in Hilbert–Spaces

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Hörmander's theorem for semilinear SPDEs

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Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma

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Controlling rough paths

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Rough evolution equations

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Local mild solutions for rough stochastic partial differential equations

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Global solutions and random dynamical systems for rough evolution equations

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Rough Center Manifolds

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Differential equations driven by rough signals

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The stable manifold theorem for stochastic differential equations

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The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations

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Semigroups of linear operators and applications to partial differential equations

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An inequality of the Hölder type, connected with Stieltjes integration

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Integration with respect to fractal functions and stochastic calculus. I

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Identifiers

10.1142/S0219493722400330

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5885225

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