A Study on the Pointwise Time-Space Estimates of Fundamental Solution for Higher Order Schr\odinger Equation Whose Symbol Function is One Kind of Degenerate Polynomial

Jin-Myong Kim; Myong-Jin Kim

arxiv: 1303.4838 · v1 · pith:B6E6YUU6new · submitted 2013-03-20 · 🧮 math-ph · math.MP

A Study on the Pointwise Time-Space Estimates of Fundamental Solution for Higher Order Schrodinger Equation Whose Symbol Function is One Kind of Degenerate Polynomial

Myong-Jin Kim , Jin-Myong Kim This is my paper

classification 🧮 math-ph math.MP

keywords estimatesequationfundamentalhigherodingerorderschrsolution

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In this paper we investigated the point-wise time-space estimates of the fundamental solution for higher order Schr\"odinger equation. These estimates improve the result of Yao [2] and generalize the one of Cui [1].

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A Study on the Pointwise Time-Space Estimates of Fundamental Solution for Higher Order Schrodinger Equation Whose Symbol Function is One Kind of Degenerate Polynomial

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