2 papers
math.PR2011
A skew stochastic heat equation
Said Karim Bounebache, Lorenzo Zambotti
We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invar…
math.PR2010
A random string with reflection in a convex domain
Said Bounebache
We study the motion of a random string in a convex domain in , namely the solution of a vector-valued stochastic heat equation, confined in the closure of and reflect…