On the domain of a Fleming--Viot-type operator on an $L^p$-space with invariant measure

Authors

  • Delio Mugnolo
  • Abdelaziz Rhandi

DOI:

https://doi.org/10.1285/i15900932v31n1p139

Keywords:

Fleming--Viot process, degenerate elliptic problems, analytic $C_0$-semigroups

Abstract

We characterize the domain of a Fleming-Viot type operator of the form $L\varphi(x)$:=$\sum_{i=1}^Nx_i(1-x_i)D_{ii}\varphi(x)+\sum_{i=1}^N(\alpha_i(1-x_i)-\alpha_{i+1}x_i)D_i\varphi(x)$ on $L^p([0,1]^N,\mu)$ for $1


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Published

15-01-2012

Issue

Volume 31, Issue 1 (2011)

Section

Articoli

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