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math.AP2015
Well-posedness of the stochastic transport equation with unbounded drift
David A. C. Mollinedo, Christian Olivera
The Cauchy problem for a multidimensional linear transport equation with unbounded drift is investigated. Provided the drift is Holder continuous , existence, uniqueness and strong…
math.AP2015★ 2 cited
Generalized solutions of the stochastic Burgers equation
P. Catuogno, J. F. Colombeau, C. Olivera
We introduce a new concepts of weak solution for the conservative stochastic Burgers equation in any dimension. The definition is based on weak solution concepts introduced by vari…