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

Tristan Roy

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arXiv · 2205.11497

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

Tristan Roy

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Abstract

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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Tristan Roy. 2022-05-23. Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation. https://arxiv.org/abs/2205.11497

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