Jose A. Lopez

most citedFinite-time blowup and existence of global positive solutions of a semi-linear SPDE

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math.PR2009★ 1 cited

Finite-time blowup and existence of global positive solutions of a semi-linear SPDE

Marco Dozzi, José Alfredo Lopez

We consider stochastic equations of the prototype $d u (t, x) = (Δ u (t, x) + u (t, x)^{1 + β}) d t + κ u (t, x) d W_{t}$ on a smooth domain $D \subset I R^{d}$ , with Dirichlet…