On type I blow up formation for the critical NLW

We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on R^{3+1}, that is adapted to continuation past type II singularities. We show that the weak extension leads to type I singularity formation for initial data corresponding to: (i) the Kenig-Merle blow-up solutions with initial energy below the ground state and (ii) the Krieger-Nakanishi-Schlag blow-up solutions sitting initially near and ``above'' the ground state static solution.


Published in:
Communications in Partial Differential Equations, 39, 9, 1718-1728
Year:
2014
Publisher:
Philadelphia, Taylor & Francis
ISSN:
0360-5302
Keywords:
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 Record created 2013-02-27, last modified 2018-03-13

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