论文标题

散射用于奇数尺寸的超临界波动方程

Scattering for focusing supercritical wave equations in odd dimensions

论文作者

Camliyurt, Guher, Kenig, Carlos E.

论文摘要

我们认为在一般奇数维度中具有能量超临界的非线性的波动方程。我们证明,在临界Sobolev空间中保持界限的任何径向溶液都是全局的,并且散布到线性溶液中。

We consider the wave equation with an energy supercritical focusing nonlinearity in general odd dimensions. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to a linear solution.

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