3 papers
math-ph2018
Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
J. Aragona, P. Catuogno, J. F. Colombeau +2
In a mathematical context in which one can multiply distributions the "`formal"' nonperturbative canonical Hamiltonian formalism in Quantum Field Theory makes sense mathematically,…
math.FA2012
Strong solution of the stochastic Burgers equation
P. Catuogno, C. Olivera
This work introduces a pathwise notion of solution for the stochastic Burgers equation, in particular, our approach encompasses the Cole-Hopf solution. The developments are based o…
math.FA2011
solutions of the stochastic transport equation
Pedro Catuogno, Christian Olivera
We consider the stochastic transport linear equation and we prove existence and uniqueness of weak solutions. Moreover, we obtain a representation of the general solution a…