On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions

DOI10.1137/16M1088387zbMath1387.35427arXiv1608.01925MaRDI QIDQ4602794

Denis S. Grebenkov, Bernard Helffer

Publication date: 2 February 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01925

zbMATH Keywords

spectral theorysemi-classical analysisWKBBloch-Torrey equationtransmission boundary condition

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75)

Related Items (13)

On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields ⋮ On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain ⋮ A primer on eigenvalue problems of non-self-adjoint operators ⋮ A Class of Well-Posed Parabolic Final Value Problems ⋮ Isomorphic well-posedness of the final value problem for the heat equation with the homogeneous Neumann condition ⋮ Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains ⋮ Well-posed final value problems and Duhamel's formula for coercive Lax-Milgram operators ⋮ The Complex Airy Operator on the Line with a Semipermeable Barrier ⋮ On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains ⋮ Final value problems for parabolic differential equations and their well-posedness ⋮ On a Schrödinger operator with a purely imaginary potential in the semiclassical limit ⋮ Diffusion NMR in periodic media: efficient computation and spectral properties ⋮ Spectral branch points of the Bloch–Torrey operator

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