On Type I Blow up Formation for the Critical Nlw
نویسندگان
چکیده
We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on R3`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 KriegerNakanishi-Schlag blow-up solutions sitting initially near and “above” the ground state static solution.
منابع مشابه
A Note on Type I Blow up Formation for the Critical Nlw
We prove development of type I singularities for a suitable concept of weak evolution in the context of the quintic focussing NLW on R3`1, for data near and “above” the ground state static solution.
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