A weakly turbulent solution to the cubic nonlinear harmonic oscillator on ℝ2 perturbed by a real smooth potential decaying to zero at infinity

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2024-01-27 DOI:10.1080/03605302.2024.2302017

Ambre Chabert

引用次数: 0

Abstract

We build a smooth real potential V(t, x) on (t0,+∞)×R2 decaying to zero as t→∞ and a smooth solution to the associated perturbed cubic noninear harmonic oscillator whose Sobolev norms blow up log...

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ℝ2上受实数光滑势扰动的立方非线性谐波振荡器的弱湍流解，在无限远处衰减为零

我们在(t0,+∞)×R2上建立了一个随着t→∞衰减为零的光滑实势V(t, x)，并建立了相关扰动立方非线性谐振子的光滑解，其Sobolev规范对数炸毁了...

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.