大连理工大学数学科学学院
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【University of Birmingham】Parabolic and hyperbolic Liouville equations

2019年10月18日 08:44  点击:[]


报告题目:Parabolic and hyperbolic Liouville equations


报告人:Dr. Yuzhao WANG (University of Birmingham)


报告时间:20191019日(星期)上午1000-1100


报告地点:创新园大厦A1101


内联系人:王文栋   联系电话:84708351-8139


: We will talk about some stochastic partial differential equations (SPDEs), which arise naturally in the context of Liouville quantum gravity and are proposed to preserve the Liouville measure which has been constructed recently in the work by David-Kupiainen-Rhodes-Vargas. We construct global solutions to these equations and then show the invariance of the Liouville measure under the resulting dynamics. As a by product, we also answer an open problem proposed by Sun-Tzvetkov recently.


报告人介绍:

Dr Wang is a Lecture at the University of Birmingham, School of Mathematics. His research interests lie in partial differential equations, harmonic analysis, and stochastic analysis. In particular, the study of nonlinear dispersive PDEs such as nonlinear Schrödinger equations, nonlinear wave equations, and the KdV equation by using techniques from PDEs, Harmonic Analysis, and Probability theory. Partial papers are pubilished in "Adv. Math", "SIAM J. Math. Anal.", "J. Funct. Anal.", "Comm. Partial Differential Equations.","Nonlinearity", "Proc. Lond. Math. Soc.", etc.

                   

数学科学学院  

2019.10.18

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