3 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…
math.PR2024
A note on invariant manifolds for stochastic partial differential equations in the framework of the variational approach
Rajeev Bhaskaran, Stefan Tappe
In this note we provide conditions for local invariance of finite dimensional submanifolds for solutions to stochastic partial differential equations (SPDEs) in the framework of th…