Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839245 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 12 Pages |
Abstract
We show the solution for the quadratic wave equation associated to the harmonic oscillator exists over a longer time interval than the one given by local existence theory. The key point is that the nonlinearity is quadratic so that we can estimate the small divisor and perform a normal form process.
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Authors
Qidi Zhang,