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A weakly turbulent solution to the cubic nonlinear harmonic oscillator on ℝ2 perturbed by a real smooth potential decaying to zero at infinity
Communications in Partial Differential Equations ( IF 1.9 ) Pub Date : 2024-01-27 , DOI: 10.1080/03605302.2024.2302017 Ambre Chabert 1
Communications in Partial Differential Equations ( IF 1.9 ) Pub Date : 2024-01-27 , DOI: 10.1080/03605302.2024.2302017 Ambre Chabert 1
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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...
中文翻译：
ℝ2 上三次非线性简谐振子的弱湍流解，受到无穷远处衰减到零的实平滑势的扰动
我们在 (t0,+∞)×R2 上建立一个平滑的实势 V(t, x)，当 t→∞ 时衰减到零，并构建相关的扰动三次非线性谐振子的平滑解，该谐振子的 Sobolev 范数会爆炸......
更新日期：2024-01-28
中文翻译：
ℝ2 上三次非线性简谐振子的弱湍流解，受到无穷远处衰减到零的实平滑势的扰动
我们在 (t0,+∞)×R2 上建立一个平滑的实势 V(t, x)，当 t→∞ 时衰减到零，并构建相关的扰动三次非线性谐振子的平滑解，该谐振子的 Sobolev 范数会爆炸......
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