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math.PR2016
Stochastic integrals and BDG's inequalities in Orlicz-type spaces
Yingchao Xie, Xicheng Zhang
In this paper we extend an inequality of Lenglart, Lépingle and Pratelli \cite[Lemma 1.1]{LLP} to general continuous adapted stochastic processes with values in topology spaces. By…
math.PR2016
Stochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties
Michael Röckner, Weina Wu, Yingchao Xie
We prove the existence and uniqueness of probabilistically strong solutions to stochastic porous media equations driven by time-dependent multiplicative noise on a general measure…