1D stochastic pressure equation with log-correlated Gaussian
coefficients
1D stochastic pressure equation with log-correlated Gaussian
coefficients
We study unique solvability for one dimensional stochastic pressure equation with diffusion coefficient given by the Wick exponential of log-correlated Gaussian fields. We prove well-posedness for Dirichlet, Neumann and periodic boundary data, and the initial value problem, covering the cases of both the Wick renormalization of the diffusion and of …