### Abstract

It is proved that, among all domains of identical measure, the ball minimizes the first eigenvalue of the one-speed particle transport operator in a multidimensional Euclidean space.

Original language | English |
---|---|

Pages (from-to) | 844-847 |

Number of pages | 4 |

Journal | Computational Mathematics and Mathematical Physics |

Volume | 55 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 28 2015 |

Externally published | Yes |

### Fingerprint

### Keywords

- eigenvalues
- one-speed particle transport operator
- spectral geometry

### ASJC Scopus subject areas

- Computational Mathematics

### Cite this

**On spectral geometry for the one-speed particle transport operator.** / Suragan, D.

Research output: Contribution to journal › Article

*Computational Mathematics and Mathematical Physics*, vol. 55, no. 5, pp. 844-847. https://doi.org/10.1134/S0965542515050140

}

TY - JOUR

T1 - On spectral geometry for the one-speed particle transport operator

AU - Suragan, D.

PY - 2015/5/28

Y1 - 2015/5/28

N2 - It is proved that, among all domains of identical measure, the ball minimizes the first eigenvalue of the one-speed particle transport operator in a multidimensional Euclidean space.

AB - It is proved that, among all domains of identical measure, the ball minimizes the first eigenvalue of the one-speed particle transport operator in a multidimensional Euclidean space.

KW - eigenvalues

KW - one-speed particle transport operator

KW - spectral geometry

UR - http://www.scopus.com/inward/record.url?scp=84930216179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84930216179&partnerID=8YFLogxK

U2 - 10.1134/S0965542515050140

DO - 10.1134/S0965542515050140

M3 - Article

VL - 55

SP - 844

EP - 847

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 5

ER -