Research interests:
Dirac and Schrödinger operators with singular interaction
Spectral analysis for transmission problems
Semiclassical analysis
Eigenvalues asymptotic
Preprints:
J. Behrndt, B. Benhellal, M. Holzmann, K. Pankrashkin: Essential spectrum in bounded domains: An example with Dirac operators. In preparation
B. Benhellal, N. Körner, D. Machado, K. Pankrashkin: MIT bag model and infinite mass limit in non-smooth domains. Submitted, Preprint arXiv
B. Benhellal, V. Bruneau, P. Miranda: Landau-Dirac operator with shell interactions: self-adjointness and clustering. Submitted, Preprint arXiv.
Publications in indexed journals:
B. Benhellal, N. Körner, K. Pankrashkin: Eigenvalue asymptotics for strong \(\delta\)-interactions supported on curves with corners. J. Math. Anal. Appl. 562 (2026), no. 1, Paper No. 130725, 63 pp. arXiv-Journal.
B. Benhellal, K. Pankrashkin: Neumann-Poincaré operators and self-adjoint transmission problems. Rev. Mat. Complut. 39 (2026), no. 2, 407-430. arXiv-Journal.
B. Benhellal, M. Camarasa, K. Pankrashkin: On Schrödinger operators with oblique transmission conditions on non-smooth curves. Integr. Equ. Oper. Theory 97 (2025), no. 3, Paper No. 22. 22 pp. arXiv-Journal.
B. Benhellal, K. Pankrashkin, M. Zreik: On the self-adjointness of two-dimensional relativistic shell interactions. J. Operator Theory 93 (2025), no. 2, 569–591. arXiv-Journal.
B. Benhellal, V. Bruneau, M. Zreik: A Poincaré-Steklov map for the MIT bag model. Analysis & PDE 17-8 (2024), 2923--2970. arXiv-Journal
B. Benhellal, K. Pankrashkin: Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions. Pure Appl. Anal. 6 (2024) 237-252. arXiv-Journal.
B. Benhellal: Spectral properties of Dirac operators coupled with $\delta$-shell interactions. Lett. Math. Phy. 112, 52 (2022), arXiv-Journal
B. Benhellal: Spectral Analysis of Dirac operators with singular interactions supported on the boundaries of rough domains. J. Math. Phys. 63, 011507 (2022); arXiv-Journal