Coercivity condition for higher order moments for nonlinear SPDEs and existence of solution under local monotonicity

Abstract

Higher order moment estimates for solutions to nonlinear SPDEs governed by locally-monotone operators are obtained under appropriate coercivity condition. These are then used to extend known existence and uniqueness results for nonlinear SPDEs under local monotonicity conditions to allow derivatives in the operator acting on the solution under the stochastic integral.

32 pages

References in corpus (2)

• SPDE in Hilbert Space with Locally Monotone Coefficients
• Local and global well-posedness of SPDE with generalized coercivity conditions

Cited by in corpus (5)

• Well-posedness of stochastic partial differential equations with fully local monotone coefficients
• Maximal estimates for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations
• Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes
• On Well-posedness of Stochastic Anisotropic $p$-Laplace Equation Driven by Lévy noise
• On Young regimes for locally monotone SPDEs