15 citations · 34 across the 9 of their papers we have counts for
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math.PR2015★ 2 cited
Pointwise weak existence for diffusions associated with degenerate elliptic forms and 2-admissible weights
Jiyong Shin, Gerald Trutnau
Using analysis for 2-admissible functions in weighted Sobolev spaces and stochastic calculus for possibly degenerate symmetric elliptic forms, we construct weak solutions to a wide…
math.PR2015★ 13 cited
Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results
Michael Röckner, Jiyong Shin, Gerald Trutnau
Using elliptic regularity results in weighted spaces, stochastic calculus and the theory of non-symmetric Dirichlet forms, we first show weak existence of non-symmetric distorted B…