Global Dynamics of the Nonradial Energy-critical Wave Equation above the Ground State Energy
نویسندگان
چکیده
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 Ḣ × L 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→ ±∞.
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