We show that for a class of second order divergence form elliptic equations on an infinite strip with the Dirichlet boundary condition,the space of fixed order exponential growth solutions is of finite dimension.An op...We show that for a class of second order divergence form elliptic equations on an infinite strip with the Dirichlet boundary condition,the space of fixed order exponential growth solutions is of finite dimension.An optimal estimation of the dimension is given.Examples also show that the finiteness property may not be true if one drops some of the conditions we make in our result.展开更多
文摘We show that for a class of second order divergence form elliptic equations on an infinite strip with the Dirichlet boundary condition,the space of fixed order exponential growth solutions is of finite dimension.An optimal estimation of the dimension is given.Examples also show that the finiteness property may not be true if one drops some of the conditions we make in our result.
