GT-PTESD20230130
The stochastic fast logarithmic equation in $\mathbb{R}^d$ with multiplicative Stratonovich noise
This work (see [1]) is concerned with the existence and uniqueness of the solution for the stochastic fast logarithmic equation with Stratonovich multiplicative noise in $\mathbb{R}^d$. It provides an answer to a critical case (corresponding to the porous media operator $\Delta X^m$ for $m = 0$) left as an open problem in the paper Barbu-Röckner-Russo (see [2]). We face several technical difficulties related both to the degeneracy properties of the logarithm and to the fact that the problem is treated in an unbounded domain.