Wave equation for 2D Landau Hamiltonian
- Author
- Michael Ruzhansky (UGent) and Niyaz Tokmagambetov (UGent)
- Organization
- Project
- Abstract
- This note is devoted to the study of the well-posedness of the Cauchy problem for the Landau Hamiltonian wave equation in the plane, with nonzero constant magnetic field. We show the well-posedness in suitably defined Sobolev spaces taking into account the spectral properties of the operator. Here, we are working out the special physically important case of a construction that is upcoming in the consequent papers. And, an interesting generalisation, from the mathematical point of view, is illustrated.
- Keywords
- Wave Equation, Well-Posedness, Constant Magnetic Field, Cauchy Problem, Landau Hamiltonian, SPECTRAL PROPERTIES, TRACE FORMULA, EIGENFUNCTIONS, PERTURBATIONS, ASYMPTOTICS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8636204
- MLA
- Ruzhansky, Michael, and Niyaz Tokmagambetov. “Wave Equation for 2D Landau Hamiltonian.” APPLIED AND COMPUTATIONAL MATHEMATICS, vol. 18, no. 1, 2019, pp. 69–78.
- APA
- Ruzhansky, M., & Tokmagambetov, N. (2019). Wave equation for 2D Landau Hamiltonian. APPLIED AND COMPUTATIONAL MATHEMATICS, 18(1), 69–78.
- Chicago author-date
- Ruzhansky, Michael, and Niyaz Tokmagambetov. 2019. “Wave Equation for 2D Landau Hamiltonian.” APPLIED AND COMPUTATIONAL MATHEMATICS 18 (1): 69–78.
- Chicago author-date (all authors)
- Ruzhansky, Michael, and Niyaz Tokmagambetov. 2019. “Wave Equation for 2D Landau Hamiltonian.” APPLIED AND COMPUTATIONAL MATHEMATICS 18 (1): 69–78.
- Vancouver
- 1.Ruzhansky M, Tokmagambetov N. Wave equation for 2D Landau Hamiltonian. APPLIED AND COMPUTATIONAL MATHEMATICS. 2019;18(1):69–78.
- IEEE
- [1]M. Ruzhansky and N. Tokmagambetov, “Wave equation for 2D Landau Hamiltonian,” APPLIED AND COMPUTATIONAL MATHEMATICS, vol. 18, no. 1, pp. 69–78, 2019.
@article{8636204,
abstract = {{This note is devoted to the study of the well-posedness of the Cauchy problem for the Landau Hamiltonian wave equation in the plane, with nonzero constant magnetic field. We show the well-posedness in suitably defined Sobolev spaces taking into account the spectral properties of the operator. Here, we are working out the special physically important case of a construction that is upcoming in the consequent papers. And, an interesting generalisation, from the mathematical point of view, is illustrated.}},
author = {{Ruzhansky, Michael and Tokmagambetov, Niyaz}},
issn = {{1683-3511}},
journal = {{APPLIED AND COMPUTATIONAL MATHEMATICS}},
keywords = {{Wave Equation,Well-Posedness,Constant Magnetic Field,Cauchy Problem,Landau Hamiltonian,SPECTRAL PROPERTIES,TRACE FORMULA,EIGENFUNCTIONS,PERTURBATIONS,ASYMPTOTICS}},
language = {{eng}},
number = {{1}},
pages = {{69--78}},
title = {{Wave equation for 2D Landau Hamiltonian}},
volume = {{18}},
year = {{2019}},
}