M.Sc Thesis | |

M.Sc Student | Arcusin Nitay |
---|---|

Subject | On The Asymptotic Behavior of the Principal Eigenvalue for Diffusion Processes with Jumps |

Department | Department of Mathematics |

Supervisor | PROF. Ross Pinsky |

Full Thesis text |

Let *D* be a subset of *R ^{d}*,
a smooth bounded domain, and let

The infinitesimal generator of this
process is an extension of the operator *-L _{γV,?}*, defined
on

*L _{γV,?}u≡-?*

with the Dirichlet boundary
condition. The spectrum *σ(L _{γV,?})* of

In this thesis we study the asymptotic behavior of the principal eigenvalue when γ→∞.