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Weak pullback attractors of setvalued processes

Weak pullback attractors of setvalued processes.
Authors: Caraballo Garrido, Tomás; Kloeden, Peter E.; Marín Rubio, Pedro;

Weak pullback attractors of setvalued processes

Abstract

Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point. The concept is useful in, for example, continuous time control systems and is related to that of viability.

Keywords

weak invariance, Applied Mathematics, Pullback attraction, set-valued processes, pullback attractors, well-posed/ill-posed Navier-Stokes, Setvalued processes, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), pullback attraction, viability theory, Navier-Stokes equations, Weak invariance, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, delayed convective term, compactness of trajectories, Analysis, nonlinear delay terms, tempered universes for non-autonomous dynamical systems, Ordinary differential inclusions, Set-valued and variational analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Average
Green
hybrid