2 papers
math.AP2026
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 , when the initial condition is in Hermite-Sobolev space of ind…
math.FA2026
Products and Convolutions in Hermite-Sobolev spaces
Suprio Bhar, Rajeev Bhaskaran
In this paper, we show that the product, or equivalently the convolutions of two functions in the Hermite-Sobolev spaces is again in the same space, f…