| Abstract: |
| This talk continues the presentation by Marco Rehmeier.
The Leibenson process, a nonlinear Markov process, is constructed from the path laws of probabilistically weak solutions to a class of McKean--Vlasov SDEs associated to the Leibenson equation.
Despite the low regularity of the coefficients of these highly degenerate McKean--Vlasov SDEs, we can show that the weak solutions constituting the Leibenson process are, in fact, strong solutions.
As a special case, we show that the $p$-Brownian motion is a strong solution to its associated McKean--Vlasov SDE. |
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