Stochastic heat equation with distributional drift

Abstract: We study stochastic heat equation with a distributional drift b by space-time white noise. We introduce a notion of a solution to this equation and obtain the existence and uniqueness of a strong solution whenever b belongs to a suitable Besov space which includes measures.

BiologyMathematicsPhysics

Audience: researchers in the topic

Early Career Math Colloquium

Series comments: https://oklahoma.zoom.us/j/99460473420