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arXiv · 1401.0674

Pullback attractor for a non local non-autonomous evolution equation in an unbounded domain

Flank D. M. Bezerra·Miriam da S. Pereira·Severino H. da Silva
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Abstract

In this work we consider the non local evolution equation with time-dependent terms which arises in models of phase separation in $\mathbb{R}^N$ \[ \partial_t u=- u + g \left(β(J*u) +βh(t,u)\right) \] under some restrictions on $h$, growth restrictions on the nonlinear term $g$ and $β>1$. We prove, under suitable assumptions, existence, regularity and upper-semicontinuity of pullback attractors with respect to functional parameter $h(t)$ in some weighted spaces.

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Flank D. M. Bezerra, Miriam da S. Pereira, Severino H. da Silva. 2014-01-03. Pullback attractor for a non local non-autonomous evolution equation in an unbounded domain. https://arxiv.org/abs/1401.0674

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