一类抛物型方程的Galerkin方法

Galerkin Method for a Class of Parabolic Equations

对一类抛物方程非齐次边值问题,先利用变量替换法,将其非齐次边值问题转化为齐次边值问题,再运用Galerkin方法证明其解的存在性.

To a class of Parabolic Equations with non -homogeneous boundary value problem , the method of variable replacement was used to transform the non -homogeneous boundary value problem into a homogeneous boundary value problem , and the Galerkin method was used to prove the existence of the solution .