2021
DOI: 10.48550/arxiv.2103.03194
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Stability and moment estimates for the stochastic singular $Φ$-Laplace equation

Abstract: We study stability, long-time behavior and moment estimates for stochastic evolution equations with additive Wiener noise and with singular drift given by a divergence type quasilinear diffusion operator which may not necessarily exhibit a homogeneous diffusivity. Our results cover the singular p-Laplace and, more generally, singular Φ-Laplace equations with zero Dirichlet boundary conditions. We obtain improved moment estimates and quantitative convergence rates of the ergodic semigroup to the unique invarian… Show more

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