Non-monotone stochastic generalized porous media equations☆

73 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Well-posedness of stochastic partial differential equations with fully local monotone coefficients (2022, methodology): “We refer to [73, 76, 77, 93] and references therein for the early applications of variational approaches to SPDEs.”
Strong Solutions for Stochastic Partial Differential Equations of Gradient Type (2011, methodology): “ in which sense the variational solution satisﬁes the boundary conditions since these are not explicitly incorporated in the space V nor in H. A partial solution to this problem has been suggested in [RW08] by proving Rt 0 Φ(Xr)dr ∈ H1 0(O) almost surely. By Theorem 4.3 the variational solution coin”
Well-posedness of stochastic partial differential equations with Lyapunov condition (2013, methodology): “[29], Röckner and Wang [30], Zhang [41] (and the references therein).”
Random attractors for a class of stochastic partial differential equations driven by general additive noise (2010, background): “ueness of variational solutions to SPDE we refer to [23, 28, 38, 40, 43, 51]. As a typical example of an SPDE in this framework stochastic porous media equations have been intensively investigated in [4, 5, 6, 7, 19, 27, 34, 36, 45]. This paper is organized as follows. In the rest of this section we”