Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise

Ioana Ciotir (1)

1 LMI - Laboratoire de Mathématiques de l'INSA de Rouen Normandie

In this paper we prove an existence and uniqueness result for the stochastic porous media equation with very singular diffusion and multiplicative noise, by using monotonicity techniques. The multiplicative Gaussian noise is essential in the proof of existence.

Mots clés: Stochastic PDE's; Monotone operators; Super-fast diffusion

Domaines: Mathématiques [math]

Ioana Ciotir. Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise. Australian Journal of Mathematical Analysis and Applications, 2017, 452 (1), pp.595-610. ⟨10.1016/j.jmaa.2017.03.018⟩. ⟨hal-01944004⟩