arXiv Open Access 2019

Counterexample to strong diamagnetism for the magnetic Robin Laplacian

Ayman Kachmar Mikael P. Sundqvist

Lihat Sumber

Abstrak

We determine a counterexample to strong diamagnetism for the Laplace operator in the unit disc with a uniform magnetic field and Robin boundary condition. The example follows from the accurate asymptotics of the lowest eigenvalue when the Robin parameter tends to $-\infty$.

Topik & Kata Kunci

math.SP math-ph

Penulis (2)

Ayman Kachmar

Mikael P. Sundqvist

Format Sitasi

APA MLA BibTeX

Kachmar, A., Sundqvist, M.P. (2019). Counterexample to strong diamagnetism for the magnetic Robin Laplacian. https://arxiv.org/abs/1910.12499

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓