Joint USYD-UNSW seminar on stochastic PDEs: Marius Tucsnak -- The heat equation is well posed in Bergman spaces

Zoom link https://unsw.zoom.us/j/87938114945?from=addon Meeting ID: 87938114945 Password
(if required): 859718 

ABSTRACT.  We show that the one-dimensional heat equation with boundary inputs admits a
natural well-posed formulation in Hilbert spaces of holomorphic functions.  In the
deterministic case, the minimal state space is a Bergman space on a rhombus adapted to
the interval.  For boundary white-noise forcing, weighted Bergman spaces yield almost
sure continuity of the mild solution.  The approach connects reachability, semigroup
theory, complex analysis, and stochastic PDEs.