On Type I Blow-Up Formation for the Critical NLW

被引：5

作者：

Krieger, Joachim ^{[1
]}

Wong, Willie ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Lausanne, Switzerland

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 39卷 / 09期

关键词：

Blowup; Critical wave equation; Hyperbolic dynamics; Invariant manifold; Scattering; Stability;

D O I：

10.1080/03605302.2013.861847

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1718 / 1728

页数：11

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