A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...

We consider an equation with drift and either critical or supercritical fractional diffusion. Under a regularity assumption for the vector field that is marginally stronger than what is required for ...

We consider a one-dimensional Burgers-type stochastic differential equation (SDE) with an α-Laplacian in its linear part, perturbed by white-noise term with non-Lipschitz coefficient, and with a ...