The Burgers' Equation in the Hermite-Sobolev Spaces

Suprio Bhar, Rajeev Bhaskaran, Barun Sarkar

In this paper, we show existence and uniqueness of solutions to the viscous Burgers' equation in ${\mathbb{R}}^d$, when the initial condition $u_0$ is in Hermite-Sobolev space of ind…