具有各向异性谐波捕获的二次非线性wave equation方程的长时间存在性和共振近似
Long-time existence and resonant approximation for the quadratic nonlinear wave equation with an anisotropic harmonic trapping
摘要：
我们建立了二维波动方程在一个方向上具有调和势的长时间解的存在唯一性。这个证明依赖于对方程的所谓时空共振的精细研究。然后，我们推导出该方程的共振系统，我们证明它是一个令人满意的近似的原始方程。
英文摘要：
We establish long-time existence and uniqueness for the 2D wave equation with a harmonic potential in one direction. This proof relies on a fine study of the so-called space-time resonances of the equation. Then we derive a resonant system for this equation and we prove that it is a satisfying approximation for the original equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
