Affiliation:
1. School of Mathematics, Nanjing University of Aeronautics and Astronautics , Nanjing 211106, China
Abstract
We consider the existence and Hölder continuity conditions for the higher-order derivative of self-intersection local time for u(t, x), where u(t,x)=u1(t,x),…,ud(t,x) is the solution to a system of non-linear stochastic heat equations driven by a d-dimensional space-time white noise. Moreover, we study the cases of intersection local time and collision local time.
Funder
National Natural Science Foundation of China
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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