论文标题

超过基态klein-gordon方程的全球动力学

Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation

论文作者

Roy, Tristan

论文摘要

考虑尺寸d = 3,4,5的聚焦临界klein-gordon方程。我们描述了实价解决方案的全球动态,其能量比基态略大。我们对从基态的一小邻居或远离它们的解决方案的流量进行了分类。

Consider the focusing energy-critical Klein-Gordon equation in dimension d=3,4,5. We describe the global dynamics of real-valued solutions of which the energy is slightly larger than that of the ground states'. We classify the flows of the solutions that are ejected from a small neighborhood of the ground states or that are away from them.

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