Wave front set for solutions to Schrodinger equations with\n time-dependent variable coefficients

2019/10/11 by Keiichi Kato, Kato, Keiichi, Tetsuya Ogawa +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1910.05012

openalex publication_date 2019/10/11 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this paper, we determine the C-infinity type wave front sets of the\nsolutions to the Schrodinger equations with time-dependent variable\ncoefficients and potentials by using the wave packet transform. We introduce\nthe infinite sum and estimate the perturb terms of the flat Laplacian on flat\nplane, which cannot be estimated by the method in Kato-Ito.\n

Citations

• Fourier integral operators. I

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