Computations and global properties for traces of Bessel's Dirichlet form

2019/01/22 by BenAmor, Ali, Moussa, Rafed
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.07320

Abstract

We compute explicitly traces of the Dirichlet form related to the Bessel process with respect to discrete measures as well as measures of mixed type. Then some global properties of the obtained Dirichlet forms, such as conservativeness, irreducibility and compact embedding for their domains are discussed.

Related

• Bessel SPDEs with general Dirichlet boundary conditions
• Global properties of Dirichlet forms in terms of Green's formula
• Nonlinear Beurling-Deny criteria
• Witten deformed exterior derivative and Bessel functions
• Dirichlet form associated with the Φ₃⁴ model