Publication

Global dynamics of the nonradial energy-critical wave equation above the ground state energy

Joachim Krieger
2013
Journal Articles

Abstract

In this paper we establish the existence of certain classes of solutions to the energy critical nonlinear wave equation in dimensions 3 and 5 assuming that the energy exceeds the ground state energy only by a small amount. No radial assumption is made. We find that there exist four sets in H(over dot) x L-2 with nonempty interiors which correspond to all possible combinations of finite-time blowup on the one hand, and global existence and scattering to a free wave, on the other hand, as t -> +/-infinity.

Official source

https://infoscience.epfl.ch/entities/publication/bdbed985-8e75-4200-976c-bf45d653a192

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Global dynamics of the nonradial energy-critical wave equation above the ground state energy

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