期刊
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
卷 39, 期 9, 页码 1718-1728出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2013.861847
关键词
Blowup; Critical wave equation; Hyperbolic dynamics; Invariant manifold; Scattering; Stability
资金
- Swiss National Fund
We introduce a suitable concept of weak evolution in the context of the radial quintic focusing 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 Krieger-Nakanishi-Schlag blow-up solutions sitting initially near and above the ground state static solution.
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