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

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.


Published in:
Discrete and Continuous Dynamical Systems, 33, 6, 2423-2450
Year:
2013
Publisher:
Springfield, Amer Inst Mathematical Sciences
ISSN:
1078-0947
Keywords:
Laboratories:




 Record created 2012-04-05, last modified 2018-03-13

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