題目：Martingale Solutions of Fractional Stochastic Equations Driven by Superlinear Noise

報告人：王碧祥, New Mexico Institute of Mining and Technology, 教授

時間：6月13日（周五）上午10: 00-11: 00

地點：X30456

摘要：In this talk, we first prove the existence of martingale solutions of an abstract stochastic equation with a monotone drift and a superlinear diffusion term. Both the nonlinear drift and diffusion terms are continuous but not necessarily locally Lipschitz continuous. We then apply the abstract result to establish the existence of martingale solutions of the fractional stochastic reaction-diffusion equation with a polynomial drift of any order driven by a superlinear noise. The pseudo-monotonicity techniques and the Skorokhod-Jakubowski representation theorem in a topological space are used to pass to the limit of a sequence of approximate solutions defined by the Galerkin method.

個人簡介：王碧祥，美國新墨西哥礦業(yè)理工大學(xué)數(shù)學(xué)系終身教授，主要從事無窮維動力系統(tǒng)和非線性偏微分方程理論與應(yīng)用等領(lǐng)域的研究。目前已發(fā)表SCI 論文150余篇，研究主要成果發(fā)表于《Mathematische Annalen》,《Transactions of the American Mathematical Society》,《Journal of Functional Analysis》,《SIAM Journal on Applied Dynamical Systems》，《Proceedings of the American Mathematical Society》,《Journal of Differential Equations》,《Science China Mathematics》,《Stochastic Processes and their Applications 》,《Nonlinearity》,《Physica D: Nonlinear Phenomena》,《Journal of Dynamics and Differential Equations》等多個國際知名數(shù)學(xué)學(xué)術(shù)期刊上。