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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
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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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.
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