Regularization by noise and stochastic Burgers equations

M. Gubinelli, M. Jara

We study a generalized 1d periodic SPDE of Burgers type: $${\partial }_{t}u=-A^{\theta }u+{\partial }_x{u}^2+A^{\theta /2}\xi$$ where $\theta >1/2$, $-A$ is the 1d Laplacian, $\xi$ is a space-time white…