Local and global well-posedness of SPDE with generalized coercivity conditions
type: Item
instance of: scholarly article
title: Local and global well-posedness of SPDE with generalized coercivity conditions
zbMATH Open document ID: 1264.60046
author: Wei Liu
author: Michael Röckner
published in: Journal of Differential Equations
publication date: 2012-12-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1202.0019
review text: The authors establish the local and global existence and uniqueness of solutions to general nonlinear evolution equations with coefficients satisfying some local monotonicity and generalized coercivity conditions. An analogous result is obtained for stochastic evolution equations in Hilbert spaces with additive noise. As applications, the main results are applied to obtain simpler proofs in known cases as the stochastic 3D Navier-Stokes equation, the tamed 3D Navier-Stokes equation and the Cahn-Hilliard equation, but also to get new results for stochastic surface growth PDE and stochastic power law fluids.
reviewed by: Elisa Alòs
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 6117522
zbMATH Keywords: local monotonicity
zbMATH Keywords: generalized coercivity
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: surface growth model
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: power law fluid
MaRDI profile type: Publication
OpenAlex ID: W2012859410
arXiv ID: 1202.0019
DOI: 10.1016/J.JDE.2012.09.014
description: scientific article