Proves that E[exp(λ sup_t ||X_t^x||_L2^2)] is finite for the stochastic Burgers equation driven by (-Δ)^γ dW with γ < 1/4 using Boué-Dupuis and Da Prato-Debussche methods.
Two-dimensional Navier-Stokes equations driven by a space-time white noise.J
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Exponential integrability of the solution to the stochastic Burgers equation driven by white noise
Proves that E[exp(λ sup_t ||X_t^x||_L2^2)] is finite for the stochastic Burgers equation driven by (-Δ)^γ dW with γ < 1/4 using Boué-Dupuis and Da Prato-Debussche methods.