论文标题
加速扩展FLRW空间的半连续波方程
Semilinear wave equations on accelerated expanding FLRW spacetimes
论文作者
论文摘要
我们在固定的加速扩展的FLRW空间上确定了一大批半线性波方程系统，几乎在空间切片上，我们证明了小数据的较小数据未来的全球范围供应良好。我们认为的系统家族很大，因为在其他示例中，它包括一般的波浪图，以及对弗里茨·约翰（Fritz John）的一些“炸毁”方程式的自然概括（由于时空扩张的结果，在我们的环境中，未来的未来爆炸消失了）。我们还建立了衰减上限，在分析的系统家族中，这些衰减范围很清晰。
We identify a large class of systems of semilinear wave equations, on fixed accelerated expanding FLRW spacetimes, with nearly at spatial slices, for which we prove small data future global well-posedness. The family of systems we consider is large in the sense that, among other examples, it includes general wave maps, as well as natural generalizations of some of Fritz John's "blow up" equations (whose future blow up disappears, in our setting, as a consequence of the spacetime expansion). We also establish decay upper bounds, which are sharp within the family of systems under analysis.
