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math.AP2010★ 37 cited
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Wei Liu
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of…
math.PR2010★ 187 cited
SPDE in Hilbert Space with Locally Monotone Coefficients
Wei Liu, Michael Röckner
In this paper we prove the existence and uniqueness of strong solutions for SPDE in Hilbert space with locally monotone coefficients, which is a generalization of the classical res…