The Gaussian structure of the singular stochastic Burgers equation

We consider the stochastically forced Burgers equation with an emphasis on spatially rough driving noise. We show that the law of the process at a fixed time t, conditioned on no explosions, is absolutely continuous with respect to the stochastic heat equation obtained by removing the nonlinearity f...

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Veröffentlicht in:	Forum of mathematics. Sigma 2022-01, Vol.10, Article e75
Hauptverfasser:	Mattingly, Jonathan C., Romito, Marco, Su, Langxuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers equation Decomposition Ellipticity Explosions Partial differential equations Probability Spacetime Thermodynamics
Online-Zugang:	Volltext
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