Some Property Of Solution For The Epitaxial Growth Model With Inertial Term

This thesis mainly studies the Cauchy problem of the following epitaxial growth model with the inertial term(?)In this thesis,the solution u(x,t)of the equation is divided into the high frequency long wave part uL(x,t)and the low frequency short wave part uH(x,t)by using the long wave and short wave decomposition method,that is,let u(x,t)=uL(x,t)+uH(x,t),the long wave part is estimated by Green's function,and the shortwave part is estimated by the energy estimation method,then the global existence of the solution is obtained by the contraction mapping principle.Finally,the optimal decay rate of the solution is discussed,and the viscosity of the equation is analyzed.