报告摘要:
| Using the hyper-exponential recurrence criterion, a large deviation principle for the occupation measure is derived for a class of non-linear monotone stochastic partial differential equations, including stochastic p-Laplace equation, stochastic porous medium equation, stochastic fast-diffusion equation driven by Brownian motions. Furthermore, we establish the LDP results for the stochastic real Ginzburg-Landau equation driven by space-time white noise, or driven by alpha-stable noise.
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