一个广义薄膜方程扰动的有限传播

摘要

We consider an initial-boundary value problem for the generalized thin film equation in one space dimension. A finite propagation of perturbations of weak solutions is discussed by u-sing the energy equality,Hardy inequality and Nirenberg inequality.%在一维空间中,利用能量等式、Hardy不等式、Nirenberg不等式,讨论一个广义薄膜方程的初边值问题扰动的有限传播,得到方程解的支集传播的有限性.