Time dependent center manifold in PDEs (Q2211120)

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Language	Label	Description	Also known as
English	Time dependent center manifold in PDEs	scientific article

Statements

scholarly article

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Time dependent center manifold in PDEs (English)

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Rafael de la Llave

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Discrete and Continuous Dynamical Systems

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publication date

12 November 2020

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zbMATH Keywords

reduction principles

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skew systems

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quasi-periodic forcing

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forcing by a stochastic process

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exponential trichotomy

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcds.2020213

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Existence and persistence of invariant manifolds for semiflows in Banach space

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KAM Theory for Partial Differential Equations

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Computer assisted proof for normally hyperbolic invariant manifolds

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Applications of centre manifold theory

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A bifurcation problem for a nonlinear partial differential equation of parabolic type<sup>†</sup>

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Stable manifolds to bounded solutions in possibly ill-posed PDEs

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Quasi-periodic solutions for the quasi-periodically forced cubic complex Ginzburg-Landau equation on $\mathbb {T}^{d}$Td

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Center manifolds for infinite dimensional nonautonomous differential equations

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Center manifolds for invariant sets

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Center manifolds for smooth invariant manifolds

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Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems

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Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation

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Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence

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Regularity of the composition operator in spaces of Hölder functions

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A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities

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An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations

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Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems

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Propagating fronts and the center manifold theorem

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Center manifolds without a phase space

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Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems

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Geometric theory of semilinear parabolic equations

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Persistence of Invariant Manifolds for Nonlinear PDEs

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A regularity lemma for functions of several variables

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On the bounded solutions of a semilinear elliptic equation in a strip

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Lipschitz spaces, smoothness of functions, and approximation theory

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Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence

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Reduction of quasilinear elliptic equations in cylindrical domains with applications

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Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems

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Essential manifolds for an elliptic problem in an infinite strip

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Dynamics of evolutionary equations

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Properties of Center Manifolds

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Transition state theory with quasi-periodic forcing

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/DCDS.2020213

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Sitelinks

Mathematics(1 entry)

mardi Publication:2211120

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