论文标题
对于非自主扩散方程的撤回吸引子的存在和规律性，延迟和非局部扩散在时间依赖的空间中
Existence and regularity of pullback attractors for a non-autonomous diffusion equation with delay and nonlocal diffusion in time-dependent spaces
论文作者
论文摘要
在本文中，我们研究了解决非自主扩散方程的渐近行为，其中包含某些遗传特征和非局部扩散在时间依赖空间中$ c _ {\ Mathcal {h} _ {t} _ {t}（ω）} $。当非线性函数$ f $满足任意订单$ p-1 $ $（p \ ge 2）$的多项式增长，而外部力量$ h \ in l_ {l o c}^{2} \ left（\ mathbb {r};
In this paper, we study the asymptotic behavior of solution to a non-autonomous diffusion equations with delay containing some hereditary characteristics and nonlocal diffusion in time-dependent space $C_{\mathcal{H}_{t}(Ω)}$. When the nonlinear function $f$ satisfies the polynomial growth of arbitrary order $p-1$ $(p \ge 2)$ and the external force $h \in L_{l o c}^{2}\left(\mathbb{R} ; H^{-1}(Ω)\right)$, we establish the existence and regularity of the time-dependent pullback attractors.
