Pullback Attractors for a Nonlocal Nonautonomous Evolution Model in RN

In this work we consider the nonlocal evolution equation with time-dependent terms which arises in models of phase separation in R N ∂ t u = - u + g β ( J ∗ u ) + β h ( t ) under some restrictions on h , growth restrictions on the nonlinear term g and β > 1 . We prove the existence, regularity an...

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Bibliographic Details
Published in:Differential equations and dynamical systems 2020, Vol.28 (1), p.87-105
Main Authors: Bezerra, Flank D. M., Pereira, Miriam da S., da Silva, Severino H.
Format: Article
Language:English
Subjects:
Computer Science
Engineering
Evolution
Mathematics
Mathematics and Statistics
Original Research
Phase separation
Time dependence
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Summary:In this work we consider the nonlocal evolution equation with time-dependent terms which arises in models of phase separation in R N ∂ t u = - u + g β ( J ∗ u ) + β h ( t ) under some restrictions on h , growth restrictions on the nonlinear term g and β > 1 . We prove the existence, regularity and upper-semicontinuity of pullback attractors with respect to functional parameter h ( t ) in some weighted spaces.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-016-0302-1