Dirichlet forms for singular diffusion in higher dimensions

作者：Freiberg Uta; Seifert Christian^*

来源：Journal of Evolution Equations, 2015, 15(4): 869-878.

DOI：10.1007/s00028-015-0284-4

• Singular diffusion
• Dirichlet forms
• Submarkovian semigroups
• Jump-diffusion process

We describe singular diffusion in bounded subsets of by form methods and characterize the associated operator. We also prove positivity and contractivity of the corresponding semigroup. This results in a description of a stochastic process moving according to classical diffusion in one part of , where jumps are allowed through the rest of Omega.

• 出版日期2015-12