Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation
arXiv:2205.11497
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.
arXiv commentUpdate. 53 pages