The purpose of this paper is to extend recent results [2] and [10] for the stochastic heat equation wave given by|?2u(t,x)?t2=?2u(t,x)?x2+?(u(t,x))W?(t,x)+b(u(t,x)),x?D??D,t>0,u(0,x)=u0(x),??tu(0,x)=v0(x),x?D, where W? space-time white noise, ? a real-valued globally Lipschitz function but b assumed be only locally continuous. Three types domain conditions are studied: D=[0,1] with homogeneous ...

recordings of ambient noise or microtremors are increasingly used to find valuable information on soil in one dimension at a given site. ambient vibrations, which are assumed to be mainly composed of surface waves, can be used to determine the surface wave dispersion curve in order to retrieve shear wave velocity profile. in this regard, microtremors are usually recorded simultaneously in an ar...