Pullback attractors for reaction-diffusion equations in some unbounded domains with an $H^{-1}$-valued non-autonomous forcing term and without uniqueness of solutions | Zendy

María Anguiano | Zendy; Tomás Caraballo | Zendy; José Real | Zendy; José Valero | Zendy

Open Access

Pullback attractors for reaction-diffusion equations in some unbounded domains with an $H^{-1}$-valued non-autonomous forcing term and without uniqueness of solutions

Author(s) -

María Anguiano,

Tomás Caraballo,

José Real,

José Valero

Publication year - 2010

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2010.14.307

Subject(s) - pullback attractor , uniqueness , pullback , attractor , mathematics , term (time) , forcing (mathematics) , domain (mathematical analysis) , reaction–diffusion system , mathematical analysis , nonlinear system , space (punctuation) , pure mathematics , set (abstract data type) , dynamical systems theory , physics , computer science , quantum mechanics , programming language , operating system

The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous forcing term taking values in the space $H^{-1}$, and with a continuous nonlinearity which does not ensure uniqueness of solutions, is proved in this paper. The theory of set-valued non-autonomous dynamical systems is applied to the problem.

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