Xia Chen, Professor, University of Tennessee, USA

Jialin Hong, Professor

Intermittency for hyperbolic Anderson models with time-independent Gaussian noise(I)

8:30-9:30 July 4(Monday), Tencent Meeting ID: 238-510-343

Intuitively, inttermittency refers to a state of the system with random noise in which the high peak is rare but real. In mathematics, it can be described in terms of moment asymptotics of the system.

Compared to the parabolic Anderson equation, the inttermittency for hyperbolic Anderson equation is much harder and less investigated due to absence of Feynman-Kac formula that links the parabolic Anderson equation to Brownian motions. In two separate talks, I will report some recent progress in this direction in both regimes of Stratonovich and Skorohkod. In particular, I will show how the large deviation technique is combined with Laplace-Fourier transforms and Malliavin calculus to achieve the precise moment asymptotics.