  In this project we investigate the stochastic Burgers' equation with
multiplicative space-time white noise on an unbounded spatial domain. We give a
random field solution to this equation by defining a process via a kind of
Feynman-Kac representation which solves a stochastic partial differential
equation such that its Hopf-Cole transformation solves Burgers' equation.
Finally, we obtain H\"older regularity and moment estimates for the solution to
Burgers' equation.
