The Complex Airy Operator on the Line with a Semipermeable Barrier
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Publication:5738246
DOI10.1137/16M1067408zbMath1430.47001arXiv1603.06992MaRDI QIDQ5738246
Raphaël Henry, Bernard Helffer, Denis S. Grebenkov
Publication date: 9 June 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.06992
Fundamental solutions to PDEs (35A08) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75)
Related Items (15)
Spectral properties of the complex Airy operator on the half-line ⋮ On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields ⋮ On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions ⋮ A primer on eigenvalue problems of non-self-adjoint operators ⋮ On parabolic final value problems and well-posedness ⋮ 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 ⋮ Diffusion across semi-permeable barriers: spectral properties, efficient computation, and applications ⋮ 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
Cites Work
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- Spectral instability for even non-selfadjoint anharmonic oscillators
- Spectral instability for some Schrödinger operators
- On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
- Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions
- Spectral Analysis of a Complex Schrödinger Operator in the Semiclassical Limit
- On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent
- The Stability of the Normal State of Superconductors in the Presence of Electric Currents
- Exact analytic solutions for diffusion impeded by an infinite array of partially permeable barriers
- Pseudospectra of semiclassical (pseudo-) differential operators
- HEAT CONTENT ASYMPTOTICS WITH TRANSMITTAL AND TRANSMISSION BOUNDARY CONDITIONS
- On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions
- Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains
- Spectral Theory and its Applications
- Resolvent Estimates for Non-Selfadjoint Operators via Semigroups
- Degenerate parabolic operators of Kolmogorov type with a geometric control condition
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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