多项式增长的广义Schr dinger算子沿曲线的收敛问题
Convergence problems along curves for generalized Schrödinger operators with polynomial growth
摘要：
本文建立了一类多项式增长的广义薛定谔算子函数的光滑性与沿曲线的收敛速度之间的关系。我们证明了该方法的收敛速度只取决于相函数的增长条件和曲线的正则性。我们的结果可以应用到广泛的一类运营商。特别地，建立了一类具有非齐次相函数的广义Schr dinger算子沿曲线的收敛结果，并给出了其收敛速度.
英文摘要：
In this paper we build the relationship between smoothness of the functions and convergence rate along curves for a class of generalized Schrödinger operators with polynomial growth. We show that the convergence rate depends only on the growth condition of the phase function and regularity of the curve. Our result can be applied to a wide class of operators. In particular, convergence results along curves for a class of generalized Schrödinger operators with non-homogeneous phase functions is built and then the convergence rate is established.
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