**
**

**Gottwald, Sebastian (2018): Two-Term Spectral Asymptotics for the Dirichlet Pseudo-Relativistic Kinetic Energy Operator on a Bounded Domain. In: Annales Henri Poincare, Vol. 19, No. 12: pp. 3743-3781**

**Full text not available from 'Open Access LMU'.**

## Abstract

Continuing the series of works following Weyl's one-term asymptotic formula for the counting function of the eigenvalues of the Dirichlet Laplacian (Weyl in Math Ann 71(4):441-479, 1912) and the much later found two-term expansion on domains with highly regular boundary by Ivri (Funktsional Anal i Prilozhen 14(2):25-34, 1980) and Melrose (in: Proceedings of symposia in pure mathematics, vol XXXVI, pp 257-274, American Mathematical Society, 1980), we prove a two-term asymptotic expansion of the Nth Cesaro mean of the eigenvalues of with Dirichlet boundary condition on a bounded domain by Banuelos et al. (J Math Anal Appl 410(2):837-846, 2014) and Park and Song (Potential Anal 41(4):1273-1291, 2014).

Item Type: | Journal article |
---|---|

Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1424-0637 |

Language: | English |

Item ID: | 66371 |

Date Deposited: | 19. Jul 2019, 12:19 |

Last Modified: | 04. Nov 2020, 13:47 |