|Publisher DOI:||10.1007/s00028-015-0284-4||Title:||Dirichlet forms for singular diffusion in higher dimensions||Language:||English||Authors:||Freiberg, Uta
|Keywords:||35Hxx; 35J70; 47A07; 47D06; 60J45||Issue Date:||1-Dec-2015||Source:||Journal of Evolution Equations 4 (15): 869-878 (2015-12-01)||Abstract (english):||
We describe singular diffusion in bounded subsets ΩΩ of ℝⁿRn 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 ΩΩ, where jumps are allowed through the rest of ΩΩ.
|URI:||http://hdl.handle.net/11420/7222||ISSN:||1424-3199||Journal:||Journal of evolution equations||Institute:||Mathematik E-10||Document Type:||Article|
|Appears in Collections:||Publications without fulltext|
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