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Exotic blowup solutions for the u⁵ focusing wave equation in R³
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Exotic blowup solutions for the u⁵ focusing wave equation in R³
classification
math.AP
math-phmath.MP
keywords
blowupequationexoticfocusingscalingsolutionswaveclasses
read the original abstract
For the energy critical focusing wave equation in three dimensions we establish the existence of blowup solutions via an "exotic" dynamical rescaling of the ground state solution W(x). The scaling law is not of the pure-power type, but rather eternally oscillates between such classes. Moreover, there is a continuum of these scaling laws.
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