The Sobolev norms and localization on the Fourier side for the solutions\n to some evolution equations

2013/06/13 by Sergey A. Denisov, Denisov, Sergey A.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1306.3178

openalex publication_date 2013/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some evolution equations with rough time-dependent potential are studied in\nthe case of one-dimensional torus. We show that the solution has higher\nregularity for the generic values of the coupling constant. The asymptotics for\nlarge time and the localization on the Fourier side are studied.\n

Citations

• Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials

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