arXiv:2205.11497 Abstract | arXiv Analytics

arXiv:2205.11497 [math.AP]Abstract References Reviews Resources

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

Published 2022-05-23Version 1

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.

Comments: 53 pages

Categories: math.AP

Keywords: ground state energy, global dynamics, focusing energy-critical klein-gordon equation, small neighborhood, real-valued solutions

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