On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains (Q2055110)

Summary: We investigate spectral and asymptotic properties of the particular Schrödinger operator (also known as the Bloch-Torrey operator), \(-\Delta +igx\), in infinite periodically perforated domains of \(\mathbb{R}^d\). We consider Dirichlet realizations of this operator and formalize a numerical approach proposed in [17] for studying such operators. In particular, we discuss the existence of the spectrum of this operator and its asymptotic behavior as \(g\to\infty\). For the entire collection see [Zbl 1465.35005].