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math.AP2013
Well-posedness of first order semilinear PDEs by stochastic perturbation
Christian Olivera
We show that first order semilinear PDEs by stochastic perturbation are well-posedness for globally Holder continuous and bounded vector field, with an integrability condition on t…
math.AP2013
Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition
Wladimir Neves, Christian Olivera
We consider the stochastic divergence-free continuity equations with Ladyzhenskaya-Prodi-Serrin condition. Wellposedness is proved meanwhile uniqueness may fail for the determinist…