论文标题
在无限的定期穿孔域中Bloch-torrey方程的光谱特性上
On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains
论文作者
论文摘要
我们研究了特定的Schrödinger操作员（也称为Bloch-Torrey操作员），$-Δ+ I G x $的光谱和渐近性能，在无限的定期穿孔域中的$ \ Mathbb r^d $。我们考虑了该操作员的差异实现，并正式化了[J.中提出的数值方法。物理。答：数学。理论。 53，325201（2020）]用于研究此类操作员。特别是，我们讨论了该操作员的频谱及其渐近行为的存在，即$ g \ to \ infty $。
We investigate spectral and asymptotic properties of the particular Schrödinger operator (also known as the Bloch-Torrey operator), $-Δ+ i g x$, in infinite periodically perforated domains of $\mathbb R^d$. We consider Dirichlet realizations of this operator and formalize a numerical approach proposed in [J. Phys. A: Math. Theor. 53, 325201 (2020)] for studying such operators. In particular, we discuss the existence of the spectrum of this operator and its asymptotic behavior as $g\to \infty$.
